CoChat
Sign Up
Cited by 94

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

Universal dynamics of heavy operators in CFT2

Collier, Scott, Maloney, Alexander, Maxfield, Henry, Tsiares, Ioannis·2020·Journal of High Energy Physics
DOI 10.1007/jhep07(2020)074
Open this paper in CoChat — free account

Abstract

We obtain an asymptotic formula for the average value of the operator product expansion coefficients of any unitary, compact two dimensional CFT with c > 1. This formula is valid when one or more of the operators has large dimension or — in the presence of a twist gap — has large spin. Our formula is universal in the sense that it depends only on the central charge and not on any other details of the theory. This result unifies all previous asymptotic formulas for CFT2 structure constants, including those derived from crossing symmetry of four point functions, modular covariance of torus correlation functions, and higher genus modular invariance. We determine this formula at finite central charge by deriving crossing kernels for higher genus crossing equations, which give analytic control over the structure constants even in the absence of exact knowledge of the conformal blocks. The higher genus modular kernels are obtained by sewing together the elementary kernels for four-point crossing and modular transforms of torus one-point functions. Our asymptotic formula is related to the DOZZ formula for the structure constants of Liouville theory, and makes precise the sense in which Liouville theory governs the universal dynamics of heavy operators in any CFT. The large central charge limit provides a link with 3D gravity, where the averaging over heavy states corresponds to a coarse-graining over black hole microstates in holographic theories. Our formula also provides an improved understanding of the Eigenstate Thermalization Hypothesis (ETH) in CFT 2, and suggests that ETH can be generalized to other kinematic regimes in two dimensional CFTs.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1007/jhep07(2020)074

Cites

4 of 4 references verified0 citation errors · 0 not checkable

Statistics

Figures

Image 1
CC-BY · From the PDF
Figure 1 The elementary crossing transformations: sphere four-point crossing between S and T channels, and torus one-point crossing between the τ and ( -1 /τ ) frames.
Figure 1 The elementary crossing transformations: sphere four-point crossing between S and T channels, and torus one-point crossing between the τ and ( -1 /τ ) frames.CC-BY · From the PDF
Figure 3 Example of a crossing transformation on the g = 2 partition function.
Figure 3 Example of a crossing transformation on the g = 2 partition function.CC-BY · From the PDF
Figure 4 A conformal block decomposition of the torus two-point function G 1 , 2 , where the kinematic parameters σ consist of a complex structure τ for the torus, and a separation w between operators. We sum over representations in the internal cuffs; for the yellow cuff i 1 , this corresponds to the operators appearing in the OPE of external operators e 1 , e 2 , and for the blue cuff i 2 , an insertion of a complete set of states in the thermal trace.
Figure 4 A conformal block decomposition of the torus two-point function G 1 , 2 , where the kinematic parameters σ consist of a complex structure τ for the torus, and a separation w between operators. We sum over representations in the internal cuffs; for the yellow cuff i 1 , this corresponds to the operators appearing in the OPE of external operators e 1 , e 2 , and for the blue cuff i 2 , an insertion of a complete set of states in the thermal trace.CC-BY · From the PDF
Figure 5 The elementary crossing moves relate different pair-of-pants decompositions of the fourpunctured sphere and the once-punctured torus, or more generally anywhere that these appear as pieces of any decomposition of a surface. The associated crossing kernels relate Virasoro conformal blocks in the corresponding channels. The fusion kernel (top) relates sphere four-point Virasoro blocks in the S- and T-channels, and the modular kernel (middle) relates torus one-point blocks in modular S -transformed frames. In the final line, we show an example relating two channels in the torus two-point function G 1 , 2 by composing these moves.
Figure 5 The elementary crossing moves relate different pair-of-pants decompositions of the fourpunctured sphere and the once-punctured torus, or more generally anywhere that these appear as pieces of any decomposition of a surface. The associated crossing kernels relate Virasoro conformal blocks in the corresponding channels. The fusion kernel (top) relates sphere four-point Virasoro blocks in the S- and T-channels, and the modular kernel (middle) relates torus one-point blocks in modular S -transformed frames. In the final line, we show an example relating two channels in the torus two-point function G 1 , 2 by composing these moves.CC-BY · From the PDF
Figure 6 The sequence of Moore-Seiberg moves to express the OPE channel torus two-point block in terms of necklace channel blocks: a modular S, followed by a fusion move.
Figure 6 The sequence of Moore-Seiberg moves to express the OPE channel torus two-point block in terms of necklace channel blocks: a modular S, followed by a fusion move.CC-BY · From the PDF
Figure 7 The sequence of moves expressing a genus 2 'dumbell' channel block in terms of 'sunset' channel blocks.
Figure 7 The sequence of moves expressing a genus 2 'dumbell' channel block in terms of 'sunset' channel blocks.CC-BY · From the PDF
Figure 8 The sequence of crossing moves applied to the sphere five-point conformal block leading to the pentagon identity (5.4) for the fusion kernel.
Figure 8 The sequence of crossing moves applied to the sphere five-point conformal block leading to the pentagon identity (5.4) for the fusion kernel.CC-BY · From the PDF

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Research works printed but not linked: 95

  1. A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B 241 (1984) 333 [INSPIRE]. · DOI
  2. C.-M. Chang and Y.-H. Lin, Bootstrapping 2D CFTs in the semiclassical limit, JHEP 08 (2016) 056 [arXiv:1510.02464] [INSPIRE]. · DOI
  3. C.-M. Chang and Y.-H. Lin, Bootstrap, universality and horizons, JHEP 10 (2016) 068 [arXiv:1604.01774] [INSPIRE]. · DOI
  4. P. Kraus and A. Maloney, A Cardy formula for three-point coefficients or how the black hole got its spots, JHEP 05 (2017) 160 [arXiv:1608.03284] [INSPIRE]. · DOI
  5. P. Kraus, A. Maloney, H. Maxfield, G.S. Ng and J.Q. Wu, Witten diagrams for torus conformal blocks, JHEP 09 (2017) 149 [arXiv:1706.00047] [INSPIRE]. · DOI
  6. P. Kraus, A. Sivaramakrishnan and R. Snively, Black holes from CFT: universality of correlators at large c, JHEP 08 (2017) 084 [arXiv:1706.00771] [INSPIRE]. · DOI
  7. D. Das, S. Datta and S. Pal, Charged structure constants from modularity, JHEP 11 (2017) 183 [arXiv:1706.04612] [INSPIRE]. · DOI
  8. D. Das, S. Datta and S. Pal, Universal asymptotics of three-point coefficients from elliptic representation of Virasoro blocks, Phys. Rev. D 98 (2018) 101901 [arXiv:1712.01842] [INSPIRE]. · DOI
  9. E.M. Brehm, D. Das and S. Datta, Probing thermality beyond the diagonal, Phys. Rev. D 98 (2018) 126015 [arXiv:1804.07924] [INSPIRE]. · DOI
  10. Y. Hikida, Y. Kusuki and T. Takayanagi, Eigenstate thermalization hypothesis and modular invariance of two-dimensional conformal field theories, Phys. Rev. D 98 (2018) 026003 [arXiv:1804.09658] [INSPIRE]. · DOI
  11. A. Romero-Bermúdez, P. Sabella-Garnier and K. Schalm, A Cardy formula for off-diagonal three-point coefficients; or, how the geometry behind the horizon gets disentangled, JHEP 09 (2018) 005 [arXiv:1804.08899] [INSPIRE]. · DOI
  12. P. Basu, D. Das, S. Datta and S. Pal, Thermality of eigenstates in conformal field theories, Phys. Rev. E 96 (2017) 022149 [arXiv:1705.03001] [INSPIRE]. · DOI
  13. J. Cardy, A. Maloney and H. Maxfield, A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance, JHEP 10 (2017) 136 [arXiv:1705.05855] [INSPIRE]. · DOI
  14. W. Song and J. Xu, Structure constants from modularity in warped CFT, JHEP 10 (2019) 211 [arXiv:1903.01346] [INSPIRE]. · DOI
  15. S. Pal, Bound on asymptotics of magnitude of three point coefficients in 2D CFT, JHEP 01 (2020) 023 [arXiv:1906.11223] [INSPIRE]. · DOI
  16. B. Michel, Universality in the OPE coefficients of holographic 2d CFTs, arXiv:1908.02873 [INSPIRE]. · arXiv
  17. E.M. Brehm and D. Das, Aspects of the S transformation Bootstrap, J. Stat. Mech. 2005 (2020) 053103 [arXiv:1911.02309] [INSPIRE]. · DOI
  18. M. Be¸sken, S. Datta and P. Kraus, Quantum thermalization and Virasoro symmetry, J. Stat. Mech. 2006 (2020) 063104 [arXiv:1907.06661] [INSPIRE]. · DOI
  19. S. Collier, Y. Gobeil, H. Maxfield and E. Perlmutter, Quantum Regge trajectories and the Virasoro analytic bootstrap, JHEP 05 (2019) 212 [arXiv:1811.05710] [INSPIRE]. · DOI
  20. B. Ponsot and J. Teschner, Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of U (q)(SL (2, ℝ)), Commun. Math. Phys. 224 (2001) 613 [math/0007097] [INSPIRE]. · DOI
  21. B. Ponsot and J. Teschner, Liouville bootstrap via harmonic analysis on a noncompact quantum group, hep-th/9911110 [INSPIRE]. · arXiv
  22. J. Liu, E. Perlmutter, V. Rosenhaus and D. Simmons-Duffin, d-dimensional SYK, AdS loops and 6j symbols, JHEP 03 (2019) 052 [arXiv:1808.00612] [INSPIRE]. · DOI
  23. Z. Komargodski and A. Zhiboedov, Convexity and liberation at large spin, JHEP 11 (2013) 140 [arXiv:1212.4103] [INSPIRE]. · DOI
  24. A. Fitzpatrick, J. Kaplan, D. Poland and D. Simmons-Duffin, The analytic bootstrap and AdS superhorizon locality, JHEP 12 (2013) 004 [arXiv:1212.3616] [INSPIRE]. · DOI
  25. G.W. Moore and N. Seiberg, Classical and quantum conformal field theory, Commun. Math. Phys. 123 (1989) 177 [INSPIRE]. · DOI · Paper page
  26. J. Teschner, Liouville theory revisited, Class. Quant. Grav. 18 (2001) R153 [hep-th/0104158] [INSPIRE]. · DOI
  27. J. Teschner, From Liouville theory to the quantum geometry of Riemann surfaces, in 14th International Congress on Mathematical Physics, 8, 2003, hep-th/0308031 [INSPIRE]. · arXiv
  28. A. Maloney, H. Maxfield and G.S. Ng, A conformal block Farey tail, JHEP 06 (2017) 117 [arXiv:1609.02165] [INSPIRE]. · DOI
  29. X. Dong, S. Maguire, A. Maloney and H. Maxfield, Phase transitions in 3D gravity and fractal dimension, JHEP 05 (2018) 080 [arXiv:1802.07275] [INSPIRE]. · DOI
  30. T. Hartman, C.A. Keller and B. Stoica, Universal spectrum of 2d conformal field theory in the large c limit, JHEP 09 (2014) 118 [arXiv:1405.5137] [INSPIRE]. · DOI
  31. A. Belin, C.A. Keller and I.G. Zadeh, Genus two partition functions and Ŕenyi entropies of large c conformal field theories, J. Phys. A 50 (2017) 435401 [arXiv:1704.08250] [INSPIRE]. · DOI
  32. J. Qiao and S. Rychkov, A Tauberian theorem for the conformal bootstrap, JHEP 12 (2017) 119 [arXiv:1709.00008] [INSPIRE]. · DOI
  33. B. Mukhametzhanov and A. Zhiboedov, Analytic Euclidean bootstrap, JHEP 10 (2019) 270 [arXiv:1808.03212] [INSPIRE]. · DOI
  34. B. Mukhametzhanov and A. Zhiboedov, Modular invariance, Tauberian theorems and microcanonical entropy, JHEP 10 (2019) 261 [arXiv:1904.06359] [INSPIRE]. · DOI
  35. S. Ganguly and S. Pal, Bounds on the density of states and the spectral gap in CFT2 , Phys. Rev. D 101 (2020) 106022 [arXiv:1905.12636] [INSPIRE]. · DOI
  36. S. Pal and Z. Sun, Tauberian-Cardy formula with spin, JHEP 01 (2020) 135 [arXiv:1910.07727] [INSPIRE]. · DOI
  37. M. Srednicki, Chaos and quantum thermalization, Phys. Rev. E 50 (1994) 888 [cond-mat/9403051]. · DOI · Paper page
  38. C.T. Asplund, A. Bernamonti, F. Galli and T. Hartman, Entanglement scrambling in 2d conformal field theory, JHEP 09 (2015) 110 [arXiv:1506.03772] [INSPIRE]. · DOI
  39. J. de Boer and D. Engelhardt, Remarks on thermalization in 2D CFT, Phys. Rev. D 94 (2016) 126019 [arXiv:1604.05327] [INSPIRE]. · DOI
  40. N. Lashkari, A. Dymarsky and H. Liu, Eigenstate thermalization hypothesis in conformal field theory, J. Stat. Mech. 1803 (2018) 033101 [arXiv:1610.00302] [INSPIRE]. · DOI
  41. S. He, F.-L. Lin and J.-j. Zhang, Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT, JHEP 08 (2017) 126 [arXiv:1703.08724] [INSPIRE]. · DOI
  42. N. Lashkari, A. Dymarsky and H. Liu, Universality of quantum information in chaotic CFTs, JHEP 03 (2018) 070 [arXiv:1710.10458] [INSPIRE]. · DOI
  43. T. Faulkner and H. Wang, Probing beyond ETH at large c, JHEP 06 (2018) 123 [arXiv:1712.03464] [INSPIRE]. · DOI
  44. W.-Z. Guo, F.-L. Lin and J. Zhang, Note on ETH of descendant states in 2D CFT, JHEP 01 (2019) 152 [arXiv:1810.01258] [INSPIRE]. · DOI
  45. A. Maloney, G.S. Ng, S.F. Ross and I. Tsiares, Thermal correlation functions of KdV charges in 2D CFT, JHEP 02 (2019) 044 [arXiv:1810.11053] [INSPIRE]. · DOI
  46. A. Maloney, G.S. Ng, S.F. Ross and I. Tsiares, Generalized Gibbs ensemble and the statistics of KdV charges in 2D CFT, JHEP 03 (2019) 075 [arXiv:1810.11054] [INSPIRE]. · DOI
  47. A. Dymarsky and K. Pavlenko, Generalized Gibbs ensemble of 2d CFTs at large central charge in the thermodynamic limit, JHEP 01 (2019) 098 [arXiv:1810.11025] [INSPIRE]. · DOI
  48. A. Dymarsky and K. Pavlenko, Exact generalized partition function of 2D CFTs at large central charge, JHEP 19 (2020) 077 [arXiv:1812.05108] [INSPIRE]. · DOI
  49. T. Anous and J. Sonner, Phases of scrambling in eigenstates, SciPost Phys. 7 (2019) 003 [arXiv:1903.03143] [INSPIRE]. · DOI
  50. A. Dymarsky and K. Pavlenko, Generalized eigenstate thermalization hypothesis in 2D conformal field theories, Phys. Rev. Lett. 123 (2019) 111602 [arXiv:1903.03559] [INSPIRE]. · DOI
  51. S. Datta, P. Kraus and B. Michel, Typicality and thermality in 2d CFT, JHEP 07 (2019) 143 [arXiv:1904.00668] [INSPIRE]. · DOI
  52. P. Saad, Late time correlation functions, baby universes and ETH in JT gravity, arXiv:1910.10311 [INSPIRE]. · arXiv
  53. H. Dorn and H.J. Otto, Two and three point functions in Liouville theory, Nucl. Phys. B 429 (1994) 375 [hep-th/9403141] [INSPIRE]. · DOI
  54. A.B. Zamolodchikov and A.B. Zamolodchikov, Structure constants and conformal bootstrap in Liouville field theory, Nucl. Phys. B 477 (1996) 577 [hep-th/9506136] [INSPIRE]. · DOI
  55. S. Jackson, L. McGough and H. Verlinde, Conformal bootstrap, universality and gravitational scattering, Nucl. Phys. B 901 (2015) 382 [arXiv:1412.5205] [INSPIRE]. · DOI
  56. G. Turiaci and H. Verlinde, On CFT and quantum chaos, JHEP 12 (2016) 110 [arXiv:1603.03020] [INSPIRE]. · DOI
  57. S. Collier, P. Kravchuk, Y.-H. Lin and X. Yin, Bootstrapping the spectral function: on the uniqueness of Liouville and the universality of BTZ, JHEP 09 (2018) 150 [arXiv:1702.00423] [INSPIRE]. · DOI
  58. S. Ribault, Conformal field theory on the plane, arXiv:1406.4290 [INSPIRE]. · arXiv
  59. Y. Kusuki, Light cone bootstrap in general 2D CFTs and entanglement from light cone singularity, JHEP 01 (2019) 025 [arXiv:1810.01335] [INSPIRE]. · DOI
  60. Y. Kusuki and M. Miyaji, Entanglement entropy, OTOC and bootstrap in 2D CFTs from Regge and light cone limits of multi-point conformal block, JHEP 08 (2019) 063 [arXiv:1905.02191] [INSPIRE]. · DOI
  61. N. Benjamin, H. Ooguri, S.-H. Shao and Y. Wang, Light-cone modular bootstrap and pure gravity, Phys. Rev. D 100 (2019) 066029 [arXiv:1906.04184] [INSPIRE]. · DOI
  62. H. Maxfield, Quantum corrections to the BTZ black hole extremality bound from the conformal bootstrap, JHEP 12 (2019) 003 [arXiv:1906.04416] [INSPIRE]. · DOI
  63. L. McGough and H. Verlinde, Bekenstein-Hawking entropy as topological entanglement entropy, JHEP 11 (2013) 208 [arXiv:1308.2342] [INSPIRE]. · DOI
  64. A.B. Zamolodchikov, Conformal symmetry in two-dimensions: an explicit recurrence formula for the conformal partial wave amplitude, Commun. Math. Phys. 96 (1984) 419 [INSPIRE]. · DOI
  65. A.B. Zamolodchikov, Conformal symmetry in two-dimensional space: recursion representation of conformal block, Theor. Math. Phys. 73 (1987) 1088. · DOI
  66. L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block, JHEP 01 (2010) 063 [arXiv:0911.2353] [INSPIRE]. · DOI
  67. M. Cho, S. Collier and X. Yin, Recursive representations of arbitrary Virasoro conformal blocks, JHEP 04 (2019) 018 [arXiv:1703.09805] [INSPIRE]. · DOI
  68. G.W. Moore and N. Seiberg, Polynomial equations for rational conformal field theories, Phys. Lett. B 212 (1988) 451 [INSPIRE]. · DOI
  69. B. Bakalov and A. Kirillov, On the Lego-Teichmuller game, math/9809057. · arXiv
  70. L. Álvarez-Gaumé, C. Gomez and G. Sierra, Duality and quantum groups, Nucl. Phys. B 330 (1990) 347 [INSPIRE]. · DOI
  71. L. Alvarez-Gaume, G. Sierra and C. Gomez, Topics in conformal field theory, CERN-TH-5540-89 (1989). · DOI
  72. S. Caron-Huot, Analyticity in spin in conformal theories, JHEP 09 (2017) 078 [arXiv:1703.00278] [INSPIRE]. · DOI
  73. N. Nemkov, On modular transformations of toric conformal blocks, JHEP 10 (2015) 039 [arXiv:1504.04360] [INSPIRE]. · DOI
  74. N. Nemkov, Analytic properties of the Virasoro modular kernel, Eur. Phys. J. C 77 (2017) 368 [arXiv:1610.02000] [INSPIRE]. · DOI
  75. G.W. Moore and N. Seiberg, Lectures on RCFT, in the proceedings of 1989 Banff NATO ASI: physics, geometry and topology, August 14–25, Banff, Canada (1989).
  76. J. Teschner, Nonrational conformal field theory, arXiv:0803.0919 [INSPIRE]. · arXiv
  77. I. Heemskerk, J. Penedones, J. Polchinski and J. Sully, Holography from conformal field theory, JHEP 10 (2009) 079 [arXiv:0907.0151] [INSPIRE]. · DOI · Paper page
  78. S. El-Showk and K. Papadodimas, Emergent spacetime and holographic CFTs, JHEP 10 (2012) 106 [arXiv:1101.4163] [INSPIRE]. · DOI
  79. A. Strominger, Black hole entropy from near horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251] [INSPIRE]. · DOI · Paper page
  80. T. Hartman, Entanglement entropy at large central charge, arXiv:1303.6955 [INSPIRE]. · arXiv
  81. D.A. Roberts and D. Stanford, Two-dimensional conformal field theory and the butterfly effect, Phys. Rev. Lett. 115 (2015) 131603 [arXiv:1412.5123] [INSPIRE]. · DOI
  82. T. Anous, T. Hartman, A. Rovai and J. Sonner, Black hole collapse in the 1/c expansion, JHEP 07 (2016) 123 [arXiv:1603.04856] [INSPIRE]. · DOI · Paper page
  83. P. Kraus and A. Sivaramakrishnan, Light-state dominance from the conformal bootstrap, JHEP 08 (2019) 013 [arXiv:1812.02226] [INSPIRE]. · DOI
  84. T. Faulkner et al., Gravitation from entanglement in holographic CFTs, JHEP 03 (2014) 051 [arXiv:1312.7856] [INSPIRE]. · DOI · Paper page
  85. E. Hijano, P. Kraus and R. Snively, Worldline approach to semi-classical conformal blocks, JHEP 07 (2015) 131 [arXiv:1501.02260] [INSPIRE]. · DOI
  86. H. Maxfield, A view of the bulk from the worldline, arXiv:1712.00885 [INSPIRE]. · arXiv
  87. C.-M. Chang, D.M. Ramirez and M. Rangamani, Spinning constraints on chaotic large c CFTs, JHEP 03 (2019) 068 [arXiv:1812.05585] [INSPIRE]. · DOI
  88. D. Birmingham, I. Sachs and S.N. Solodukhin, Conformal field theory interpretation of black hole quasinormal modes, Phys. Rev. Lett. 88 (2002) 151301 [hep-th/0112055] [INSPIRE]. · DOI · Paper page
  89. A. Fitzpatrick, J. Kaplan and M.T. Walters, Universality of long-distance AdS physics from the CFT bootstrap, JHEP 08 (2014) 145 [arXiv:1403.6829] [INSPIRE]. · DOI · Paper page
  90. A.L. Fitzpatrick, J. Kaplan and M.T. Walters, Virasoro conformal blocks and thermality from classical background fields, JHEP 11 (2015) 200 [arXiv:1501.05315] [INSPIRE]. · DOI
  91. J. Maldacena and D. Stanford, Remarks on the Sachdev-Ye-Kitaev model, Phys. Rev. D 94 (2016) 106002 [arXiv:1604.07818] [INSPIRE]. · DOI · Paper page
  92. J. Maldacena, D. Stanford and Z. Yang, Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space, PTEP 2016 (2016) 12C104 [arXiv:1606.01857] [INSPIRE]. · DOI · Paper page
  93. A. Almheiri and J. Polchinski, Models of AdS2 backreaction and holography, JHEP 11 (2015) 014 [arXiv:1402.6334] [INSPIRE]. · DOI · Paper page
  94. A. Kitaev and S.J. Suh, Statistical mechanics of a two-dimensional black hole, JHEP 05 (2019) 198 [arXiv:1808.07032] [INSPIRE]. · DOI · Paper page
  95. Z. Yang, The quantum gravity dynamics of near extremal black holes, JHEP 05 (2019) 205 [arXiv:1809.08647] [INSPIRE]. · DOI · Paper page

Cited by

Sorted by citations

See all 94

Metadata

Authors
Collier, S., Maloney, A., Maxfield, H., & Tsiares, I.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2020-07
Volume
2020
Issue
7
ISSN
1029-8479
DOI
10.1007/jhep07(2020)074
Cited by
94
References
4
Language
en
Licence

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review