Crossing symmetry and Higher spin towers View Full Text


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Article Info

DATE

2017-12

AUTHORS

Luis F. Alday, Agnese Bissi

ABSTRACT

We consider higher spin operators in weakly coupled gauge conformal field theories. Crossing symmetry of mixed scalar correlators relates different higher spin towers and we study the consequences for the spectrum and structure constants of higher spin operators of different twists. Constraints are obtained to all loops in perturbation theory. The large spin contributions to the structure constants can be resummed into a theory-dependent prefactor times a universal factor, whose structure of poles agrees with the one that would be obtained from a Witten diagram supergravity computation, although only crossing symmetry is assumed. Finally, our results provide an all loop expression for the double null limit of mixed correlators, which is in perfect agreement with the correlator/Wilson loop correspondence. More... »

PAGES

118

References to SciGraph publications

  • 2016-10. Bounding the space of holographic CFTs with chaos in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-04. An algebraic approach to the analytic bootstrap in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-06. Conformal bootstrap with slightly broken higher spin symmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-11. Convexity and liberation at large spin in JOURNAL OF HIGH ENERGY PHYSICS
  • 2011-09. From correlation functions to Wilson loops in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-03. Computing three-point functions for short operators in JOURNAL OF HIGH ENERGY PHYSICS
  • 2014-11. Bootstrapping mixed correlators in the 3D Ising model in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-08. All three-loop four-point correlators of half-BPS operators in planar N = 4 SYM in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-10-27. Holography from conformal field theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-12. The analytic bootstrap and AdS superhorizon locality in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-11-09. Comments on operators with large spin in JOURNAL OF HIGH ENERGY PHYSICS
  • 2013-10. Higher-spin correlators in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-03. On level crossing in conformal field theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-04. Three-point correlators from string amplitudes: mixing and Regge spins in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep12(2017)118

    DOI

    http://dx.doi.org/10.1007/jhep12(2017)118

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