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Universality of sparse d > 2 conformal field theory at large N

Belin, Alexandre, de Boer, Jan, Kruthoff, Jorrit, Michel, Ben, Shaghoulian, Edgar, Shyani, Milind·2017·Journal of High Energy Physics

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Figure 1 The functional form of f ( L 1 /L 2 ) in the vacuum energy (defined in (2.18)) of a free boson in 2 + 1 dimensions on a two-torus T 2 with sides L 1 and L 2 . As can be seen in the plot, f ( L 1 /L 2 ) is positive and monotonically increasing.
Figure 1 The functional form of f ( L 1 /L 2 ) in the vacuum energy (defined in (2.18)) of a free boson in 2 + 1 dimensions on a two-torus T 2 with sides L 1 and L 2 . As can be seen in the plot, f ( L 1 /L 2 ) is positive and monotonically increasing.CC-BY · From the PDF

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  1. 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
  2. A.L. Fitzpatrick, J. Kaplan, M.T. Walters and J. Wang, Hawking from Catalan, JHEP 05 (2016) 069 [ arXiv:1510.00014 ] [ INSPIRE ]. · DOI
  3. A.L. Fitzpatrick and J. Kaplan, Conformal Blocks Beyond the Semi-Classical Limit, JHEP 05 (2016) 075 [ arXiv:1512.03052 ] [ INSPIRE ]. · DOI
  4. A.L. Fitzpatrick and J. Kaplan, A Quantum Correction To Chaos, JHEP 05 (2016) 070 [ arXiv:1601.06164 ] [ INSPIRE ]. · DOI
  5. A.L. Fitzpatrick, J. Kaplan, D. Li and J. Wang, On information loss in AdS 3 /CFT 2, JHEP 05 (2016) 109 [ arXiv:1603.08925 ] [ INSPIRE ]. · DOI · Paper page
  6. H. Chen, A.L. Fitzpatrick, J. Kaplan, D. Li and J. Wang, Degenerate Operators and the 1/c Expansion: Lorentzian Resummations, High Order Computations and Super-Virasoro Blocks, arXiv:1606.02659 [ INSPIRE ]. · arXiv
  7. A.L. Fitzpatrick and J. Kaplan, On the Late-Time Behavior of Virasoro Blocks and a Classification of Semiclassical Saddles, arXiv:1609.07153 [ INSPIRE ]. · arXiv
  8. 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
  9. T. Hartman, Entanglement Entropy at Large Central Charge, arXiv:1303.6955 [ INSPIRE ]. · arXiv
  10. 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
  11. 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
  12. E. Perlmutter, Bounding the Space of Holographic CFTs with Chaos, JHEP 10 (2016) 069 [ arXiv:1602.08272 ] [ INSPIRE ]. · DOI
  13. 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
  14. P. Kovtun and A. Ritz, Black holes and universality classes of critical points, Phys. Rev. Lett. 100 (2008) 171606 [ arXiv:0801.2785 ] [ INSPIRE ]. · DOI
  15. 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
  16. S. El-Showk and K. Papadodimas, Emergent Spacetime and Holographic CFTs, JHEP 10 (2012) 106 [ arXiv:1101.4163 ] [ INSPIRE ]. · DOI
  17. Z. Komargodski and A. Zhiboedov, Convexity and Liberation at Large Spin, JHEP 11 (2013) 140 [ arXiv:1212.4103 ] [ INSPIRE ]. · DOI
  18. A.L. 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
  19. A.L. Fitzpatrick and J. Kaplan, AdS Field Theory from Conformal Field Theory, JHEP 02 (2013) 054 [ arXiv:1208.0337 ] [ INSPIRE ]. · DOI
  20. A.L. 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
  21. A.L. Fitzpatrick, J. Kaplan, M.T. Walters and J. Wang, Eikonalization of Conformal Blocks, JHEP 09 (2015) 019 [ arXiv:1504.01737 ] [ INSPIRE ]. · DOI
  22. X.O. Camanho, J.D. Edelstein, J. Maldacena and A. Zhiboedov, Causality Constraints on Corrections to the Graviton Three-Point Coupling, JHEP 02 (2016) 020 [ arXiv:1407.5597 ] [ INSPIRE ]. · DOI
  23. T. Hartman, S. Jain and S. Kundu, Causality Constraints in Conformal Field Theory, JHEP 05 (2016) 099 [ arXiv:1509.00014 ] [ INSPIRE ]. · DOI
  24. J. Maldacena, D. Simmons-Duffin and A. Zhiboedov, Looking for a bulk point, JHEP 01 (2017) 013 [ arXiv:1509.03612 ] [ INSPIRE ]. · DOI
  25. L.F. Alday, A. Bissi and T. Lukowski, Lessons from crossing symmetry at large-N , JHEP 06 (2015) 074 [ arXiv:1410.4717 ] [ INSPIRE ]. · DOI
  26. N. Benjamin, M.C.N. Cheng, S. Kachru, G.W. Moore and N.M. Paquette, Elliptic Genera and 3d Gravity, Annales Henri Poincaré 17 (2016) 2623 [ arXiv:1503.04800 ] [ INSPIRE ]. · DOI
  27. E. Shaghoulian, Modular forms and a generalized Cardy formula in higher dimensions, Phys. Rev. D 93 (2016) 126005 [ arXiv:1508.02728 ] [ INSPIRE ]. · arXiv
  28. E. Shaghoulian, Black hole microstates in AdS, Phys. Rev. D 94 (2016) 104044 [ arXiv:1512.06855 ] [ INSPIRE ]. · arXiv
  29. L.J. Dixon, D. Friedan, E.J. Martinec and S.H. Shenker, The Conformal Field Theory of Orbifolds, Nucl. Phys. B 282 (1987) 13 [ INSPIRE ]. · DOI
  30. R. Dijkgraaf, G.W. Moore, E.P. Verlinde and H.L. Verlinde, Elliptic genera of symmetric products and second quantized strings, Commun. Math. Phys. 185 (1997) 197 [ hep-th/9608096 ] [ INSPIRE ]. · DOI
  31. P. Bantay, Characters and modular properties of permutation orbifolds, Phys. Lett. B 419 (1998) 175 [ hep-th/9708120 ] [ INSPIRE ]. · DOI
  32. P. Bantay, Symmetric products, permutation orbifolds and discrete torsion, Lett. Math. Phys. 63 (2003) 209 [ hep-th/0004025 ] [ INSPIRE ]. · DOI
  33. O. Lunin and S.D. Mathur, Correlation functions for M N /S N orbifolds, Commun. Math. Phys. 219 (2001) 399 [ hep-th/0006196 ] [ INSPIRE ]. · DOI
  34. A. Pakman, L. Rastelli and S.S. Razamat, Diagrams for Symmetric Product Orbifolds, JHEP 10 (2009) 034 [ arXiv:0905.3448 ] [ INSPIRE ]. · DOI
  35. C.A. Keller, Phase transitions in symmetric orbifold CFTs and universality, JHEP 03 (2011) 114 [ arXiv:1101.4937 ] [ INSPIRE ]. · DOI
  36. J. de Boer, Six-dimensional supergravity on S 3 × AdS 3 and 2d conformal field theory, Nucl. Phys. B 548 (1999) 139 [ hep-th/9806104 ] [ INSPIRE ]. · DOI
  37. R. Dijkgraaf, Instanton strings and hyper-Kähler geometry, Nucl. Phys. B 543 (1999) 545 [ hep-th/9810210 ] [ INSPIRE ]. · DOI
  38. N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP 04 (1999) 017 [ hep-th/9903224 ] [ INSPIRE ]. · DOI
  39. S.M. Trott, A pair of generators for the unimodular group, Can. Math. Bull. 5 (1962) 245. · DOI
  40. R.C. Myers, Stress tensors and Casimir energies in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 046002 [ hep-th/9903203 ] [ INSPIRE ]. · arXiv
  41. G.T. Horowitz and R.C. Myers, The AdS/CFT correspondence and a new positive energy conjecture for general relativity, Phys. Rev. D 59 (1998) 026005 [ hep-th/9808079 ] [ INSPIRE ]. · arXiv
  42. A. Belin, C.A. Keller and A. Maloney, Permutation Orbifolds in the large-N Limit, Annales Henri Poincaré 18 (2016) 529 [ arXiv:1509.01256 ] [ INSPIRE ]. · DOI
  43. F.M. Haehl and M. Rangamani, Permutation orbifolds and holography, JHEP 03 (2015) 163 [ arXiv:1412.2759 ] [ INSPIRE ]. · DOI
  44. A. Belin, C.A. Keller and A. Maloney, String Universality for Permutation Orbifolds, Phys. Rev. D 91 (2015) 106005 [ arXiv:1412.7159 ] [ INSPIRE ]. · arXiv
  45. N. Benjamin, S. Kachru, C.A. Keller and N.M. Paquette, Emergent space-time and the supersymmetric index, JHEP 05 (2016) 158 [ arXiv:1512.00010 ] [ INSPIRE ]. · DOI
  46. P.H. Ginsparg, Applied Conformal Field Theory, in proceedings of Les Houches Summer School in Theoretical Physics: Fields, Strings, Critical Phenomena, Les Houches, France, 28 June-5 August 1988, pp. 1-168 [ hep-th/9108028 ] [ INSPIRE ]. · arXiv
  47. P.J. Cameron, Oligomorphic permutation groups, in London Mathematical Society Lecture Note Series, volume 152, Cambridge University Press, Cambridge (1990). · DOI
  48. P.J. Cameron, Oligomorphic permutation groups, in Perspectives in mathematical sciences. II. Statistical Science and Interdisciplinary Research, volume 8, World Scientific Publishing, Hackensack NJ U.S.A. (2009), pp. 37-61. · DOI
  49. P.J. Cameron, Transitivity of permutation groups on unordered sets, Math. Z. 148 (1976) 127. · DOI
  50. D. Goldfeld, Automorphic Forms and L-Functions for the Group GL(n, R), Cambridge Studies in Advanced Mathematics, Cambridge University Press (2006). · DOI
  51. M.J. Park, C. Fang, B.A. Bernevig and M.J. Gilbert, Modular Anomalies in (2 + 1) and (3 + 1)-D Edge Theories, arXiv:1604.00407 [ INSPIRE ]. · arXiv
  52. J.L. Cardy, Operator content and modular properties of higher dimensional conformal field theories, Nucl. Phys. B 366 (1991) 403 [ INSPIRE ]. · DOI
  53. S. Hellerman, A Universal Inequality for CFT and Quantum Gravity, JHEP 08 (2011) 130 [ arXiv:0902.2790 ] [ INSPIRE ]. · DOI
  54. S. Hellerman and C. Schmidt-Colinet, Bounds for State Degeneracies in 2D Conformal Field Theory, JHEP 08 (2011) 127 [ arXiv:1007.0756 ] [ INSPIRE ]. · DOI
  55. D. Friedan and C.A. Keller, Constraints on 2d CFT partition functions, JHEP 10 (2013) 180 [ arXiv:1307.6562 ] [ INSPIRE ]. · DOI
  56. J.D. Qualls and A.D. Shapere, Bounds on Operator Dimensions in 2D Conformal Field Theories, JHEP 05 (2014) 091 [ arXiv:1312.0038 ] [ INSPIRE ]. · DOI
  57. J.D. Qualls, Universal Bounds in Even-Spin CFTs, JHEP 12 (2015) 001 [ arXiv:1412.0383 ] [ INSPIRE ]. · DOI
  58. N. Benjamin, E. Dyer, A.L. Fitzpatrick and S. Kachru, Universal Bounds on Charged States in 2d CFT and 3d Gravity, JHEP 08 (2016) 041 [ arXiv:1603.09745 ] [ INSPIRE ]. · DOI
  59. S. Collier, Y.-H. Lin and X. Yin, Modular Bootstrap Revisited, arXiv:1608.06241 [ INSPIRE ]. · arXiv
  60. L.-Y. Hung, R.C. Myers, M. Smolkin and A. Yale, Holographic Calculations of Renyi Entropy, JHEP 12 (2011) 047 [ arXiv:1110.1084 ] [ INSPIRE ]. · DOI
  61. L.-Y. Hung, R.C. Myers and M. Smolkin, Twist operators in higher dimensions, JHEP 10 (2014) 178 [ arXiv:1407.6429 ] [ INSPIRE ]. · arXiv

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Metadata

Authors
Belin, A., de Boer, J., Kruthoff, J., Michel, B., Shaghoulian, E., & Shyani, M.
Venue
Journal of High Energy Physics
Published
2017-03
Volume
2017
Issue
3
ISSN
1029-8479
Cited by
50
References
2
Language
en

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Belin, A., de Boer, J., Kruthoff, J., Michel, B., Shaghoulian, E., & Shyani, M. (2017). Universality of sparse d > 2 conformal field theory at large N. Journal of High Energy Physics. https://doi.org/10.1007/jhep03(2017)067

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