The DOI matches its Crossref record; 40 of the 40 references it cites were found in a registry or an index.
Convexity and liberation at large spin
Open accessAbstract
A bstractWe consider several aspects of unitary higher-dimensional conformal field theories (CFTs). We first study massive deformations that trigger a flow to a gapped phase. Deep inelastic scattering in the gapped phase leads to a convexity property of dimensions of spinning operators of the original CFT. We further investigate the dimensions of spinning operators via the crossing equations in the light-cone limit. We find that, in a sense, CFTs become free at large spin and 1/s is a weak coupling parameter. The spectrum of CFTs enjoys additivity: if two twists τ1, τ2 appear in the spectrum, there are operators whose twists are arbitrarily close to τ1 + τ2. We characterize how τ1 + τ2 is approached at large spin by solving the crossing equations analytically. We find the precise form of the leading correction, including the prefactor. We compare with examples where these observables were computed in perturbation theory, or via gauge-gravity duality, and find complete agreement. The crossing equations show that certain operators have a convex spectrum in twist space. We also observe a connection between convexity and the ratio of dimension to charge. Applications include the 3d Ising model, theories with a gravity dual, SCFTs, and patterns of higher spin symmetry breaking.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Gauge theory correlators from non-critical string theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · Physics Letters B · doi:10.1016/s0370-2693(98)00377-3 · Cited by 9,307
Gauge Theory Correlators from Non-Critical String Theory
Gubser, S. S., Klebanov, I. R., & Polyakov, A. M. (1998) · arXiv · doi:10.48550/arxiv.hep-th/9802109 · Cited by 9,307
The renormalization group and the ε expansion
Wilson, K. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90023-4 · Cited by 5,179
Infinite conformal symmetry in two-dimensional quantum field theory
Belavin, A. A., Polyakov, A. M., & Zamolodchikov, A. B. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90052-x · Cited by 4,840
Critical phenomena and renormalization-group theory
Pelissetto, A., & Vicari, E. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00219-3 · Cited by 1,630
Asymptotic Behavior and Subtractions in the Mandelstam Representation
Froissart, M. (1961) · Physical Review · doi:10.1103/physrev.123.1053 · Cited by 1,359
Causality, analyticity and an IR obstruction to UV completion
Adams, A., Arkani-Hamed, N., Dubovsky, S., Nicolis, A., & Rattazzi, R. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/10/014 · Cited by 1,041
AdS dual of the critical O(N) vector model
Klebanov, I. R., & Polyakov, A. M. (2002) · Physics Letters B · doi:10.1016/s0370-2693(02)02980-5 · Cited by 997
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Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
Universality of long-distance AdS physics from the CFT bootstrap
Fitzpatrick, A. L., Kaplan, J., & Walters, M. T. (2014) · Journal of High Energy Physics · doi:10.1007/jhep08(2014)145 · Cited by 397
Averaged null energy condition from causality
Hartman, T., Kundu, S., & Tajdini, A. (2017) · Journal of High Energy Physics · doi:10.1007/jhep07(2017)066 · Cited by 185
The conformal bootstrap at finite temperature
Iliesiu, L., Koloğlu, M., Mahajan, R., Perlmutter, E., & Simmons-Duffin, D. (2018) · Journal of High Energy Physics · doi:10.1007/jhep10(2018)070 · Cited by 133
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Balakrishnan, S., Faulkner, T., Khandker, Z. U., & Wang, H. (2019) · Journal of High Energy Physics · doi:10.1007/jhep09(2019)020 · Cited by 120
Metadata
- Authors
- Komargodski, Z., & Zhiboedov, A.
- Venue
- Journal of High Energy Physics
- Published
- 2013-11
- Volume
- 2013
- Issue
- 11
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2141770723
- Cited by
- 420
- References
- 40
- FWCI
- 11.45
- Type
- journal article
- Language
- en
- Open access
- green
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