Holography Beyond AdS

Abstract

We continue our study of string theory in a background that interpolates between $Ad{S}_3$ in the infrared and a linear dilaton spacetime $R^{1,1}\times R_{\varphi }$ in the UV. This background corresponds via holography to a $CF{T}_2$ 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.

16 pages; v2: reference updated

References in corpus (3)

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Cited by in corpus (91)

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