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Convexity and liberation at large spin

Komargodski, Zohar ; Zhiboedov, Alexander

The journal of high energy physics, 2013-11, Vol.2013 (11), p.1-50, Article 140 [Periódico revisado por pares]

Berlin/Heidelberg: Springer Berlin Heidelberg

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  • Título:
    Convexity and liberation at large spin
  • Autor: Komargodski, Zohar ; Zhiboedov, Alexander
  • Assuntos: Broken symmetry ; Classical and Quantum Gravitation ; Convexity ; Elementary Particles ; Inelastic scattering ; Mathematical analysis ; Mathematical models ; Operators ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; Spinning ; String Theory ; Three dimensional models
  • É parte de: The journal of high energy physics, 2013-11, Vol.2013 (11), p.1-50, Article 140
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
  • Descrição: A bstract We 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 τ 1 , τ 2 appear in the spectrum, there are operators whose twists are arbitrarily close to τ 1 + τ 2 . We characterize how τ 1 + τ 2 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.
  • Editor: Berlin/Heidelberg: Springer Berlin Heidelberg
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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