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We continue our study of string theory in a background that interpolates between AdS3 in the infrared and a linear dilaton spacetime IR1,1×IRϕ in the UV. This background corresponds via holography to a CFT2 deformed by an operator of dimension (2,2). We discuss the structure of spatial entanglement in this model, and compare it to the closely related TT‾ deformed CFT2.

We continue our study of string theory in a background that interpolates between AdS3 in the infrared and a linear dilaton spacetime R1,1×Rϕ in the UV. This background corresponds via holography to a CFT2 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.

Recently it was shown that folded strings are spontaneously created behind the horizon of the SL(2,R)k/U(1) black hole. Here we show that these folded strings violate the averaged null energy condition macroscopically. We discuss possible consequences of this observation on black hole physics in general, and on the information puzzle in particular.