Anti-de Sitter fragmentation

Abstract

Low-energy, near-horizon scaling limits of black holes which lead to string theory on AdS 2 × S 2 are described. Unlike the higher-dimensional cases, in the simplest approach all finite-energy excitations of AdS 2 ×S 2 are suppressed. Surviving zero-energy configurations are described. These can include tree-like structures in which the AdS 2 ×S 2 throat branches as the horizon is approached, as well as disconnected AdS 2 × S 2 universes. In principle, the black hole entropy counts the quantum ground states on the moduli space of such configurations. In a nonsupersymmetric context AdS D for general D can be unstable against instanton-mediated fragmentation into disconnected universes. Several examples are given.

Thermal amplitudes in DLCQ superstrings on pp-waves

“…As is already pointed out in [4], these extra zero-modes should correspond to the "long strings" in the original AdS 3 background [37,38,39], and also the periodicity mentioned above reflects the spectral flow symmetry. In the covariant gauge quantization of this background (i.e.…”

“…The function Θ (a,b) (τ,τ ; m) describes various twisted boundary conditions characterized by a and b. Namely, it is easy to see that the partition function for the d-components complex massive boson (non-chiral fermion) with the boundary conditions φ(z + 2π,z + 2π) = e −2πia φ(z,z) 3 , φ(z + 2πτ,z + 2πτ ) = e 2πib φ(z,z), is calculated as 37) where ǫ = +1 for the boson and ǫ = −1 for the fermion. In this expression we introduced the momentum operator for the twisted fieldŝ 38) and the "helicity operator"ĥ 39) where…”

Remarks on the Sachdev-Ye-Kitaev model

“…This metric is spontaneously breaking the rest of the reparametrizations. The boundary mode is the corresponding Goldstone boson and it implies that pure AdS 2 gravity is not well defined, if we want to have any non-trivial excitation [34,35,7]. However, when AdS 2 arises from a higher dimensional theory, there is always a coupling to a dilaton which is not constant on AdS 2 .…”

Two dimensional anti-de Sitter space and discrete light cone quantization

“…The two dimensional black holes have been one of the important subjects in string theory and gravity. The present work may enable us to discuss the various aspects of the two dimensional black holes [19,20] from the viewpoint of the three dimensional black hole. According to the conjecture of AdS/CF T correspondence [1] the (2+1) dimensional gravity on AdS 3 is supposed to be equivalent to the boundary (1+1) dimensional conformal Yang-Mills theory on its boundary.…”