Holography Beyond AdS

By Meseret Asrat, A. Giveon, N. Itzhaki, D. Kutasov. Nuclear Physics B, 2017

167 citations recorded by the source corpus.

Abstract We continue our study of string theory in a background that interpolates between A d S 3 in the infrared and a linear dilaton spacetime R 1 , 1 × R ϕ in the UV. This background corresponds via holography to a C F T 2 deformed by a certain irrelevant operator of dimension ( 2 , 2 ) . We show that for two point functions of local operators in the infrared CFT, conformal perturbation theory in this irrelevant operator has a finite radius of convergence in momentum space, and one can use it to flow up the renormalization group. The spectral density develops an imaginary part above a certain critical value of the spectral parameter; this appears to be related to the non-locality of the theory. In position space, conformal perturbation theory has a vanishing radius of convergence; the leading non-perturbative effect is an imaginary part of the two point function.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/05f214c5b42de9a1ecf3f42d61280565fec92272

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Citations in the corpus

Holography at finite cutoff with a T2 deformation (2018, background): “The matching with Hagedorn scaling in d = 2 is an important aspect of relating (a single-trace version of) this deformation to little string theory [28–32].”