On information loss in AdS3/CFT2

Abstract:We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed off the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coefficients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

Section: Finding Redshift In Gravitymentioning

confidence: 99%

One-loop transition amplitudes in the D1D5 CFT

Carson

Hampton

Mathur

2017

“…To the best of our knowledge however, there is no known example where a holographic theory is fully solvable exactly for arbitrary tunable values of N . This is not just a matter of being pedantic, there are strong reasons [12][13][14][15][16][17][18] to think that unitarization of black holes (for example), will require 1 one to understand non-perturbative corrections in 1/N .…”

Section: Introductionmentioning

confidence: 99%

Towards a finite-N hologram

Krishnan

Kumar

2017

We suggest that holographic tensor models related to SYK are viable candidates for exactly (ie., non-perturbatively in N ) solvable holographic theories. The reason is that in these theories, the Hilbert space is a spinor representation, and the Hamiltonian (at least in some classes) can be arranged to commute with the Clifford level. This makes the theory solvable level by level. We demonstrate this for the specific case of the uncolored O(n) 3 tensor model with arbitrary even n, and reduce the question of determining the spectrum and eigenstates to an algebraic equation relating Young tableaux. Solving this reduced problem is conceptually trivial and amounts to matching the representations on either side, as we demonstrate explicitly at low levels. At high levels, representations become bigger, but should still be tractable. None of our arguments require any supersymmetry.

“…In this setup, the long distance behavior of a particle scattering with a BTZ black hole [18,19] has been reproduced in [20]. This suggests that one can use this system to study various problems in black hole physics [21][22][23][24][25][26]. The essence is that the presence of the heavy operators change the background geometry to a BTZ black hole.…”

Section: Jhep10(2016)110mentioning

confidence: 86%

Holographic description of 2D conformal block in semi-classical limit

Chen

Zhang

2016

Abstract:In this paper, we study the holographic descriptions of the conformal block of heavy operators in two-dimensional large c conformal field theory. We consider the case that the operators are pairwise inserted such that the distance between the operators in a pair is much smaller than the others. In this case, each pair of heavy operators creates a conical defect in the bulk. We propose that the conformal block is dual to the on-shell action of three dimensional geometry with conical defects in the semi-classical limit. We show that the variation of the on-shell action with respect to the conical angle is equal to the length of the corresponding conical defect. We derive this differential relation on the conformal block in the field theory by introducing two extra light operators as both the probe and the perturbation. Our study also suggests that the area law of the holographic Rényi entropy must holds for a large class of states generated by a finite number of heavy operators insertion.