Shockwaves in black hole microstate geometries

Abstract

Gravitational solutions involving shockwaves have attracted significant recent interest in the context of black holes and quantum chaos. Certain classes of supersymmetric two-charge black hole microstates are described by supergravity solutions containing shockwaves, that are horizonless and smooth away from the shockwave. These configurations have been used to describe how black hole microstates absorb and scramble perturbations. In this paper we construct the first family of asymptotically flat supersymmetric three-charge microstate solutions that contain shockwaves. We identify a family of holographically dual states of the D1-D5 CFT and show that these pass a set of tests, including a precision holographic test. We find precise agreement between gravity and CFT. Our results may prove useful for constructing more general families of black hole microstate solutions.

On the BPS Sector in AdS3/CFT2 Holography

“…Thus, we see that the limit of large angular momentum analyzed in [33] is a variant of the shockwave limit analyzed in [34,70]. Both are part of a larger story about how bulk 1/2-BPS perturbations modify the state of the system, and how the correspondence between the bulk string theory and the CFT is manifested in the worldsheet vertex operators.…”

“…The analysis of trapping behavior in [33] included a class of NS5-F1-P 3-charge geometries obtained by "fractional spectral flow" of the 1/2-BPS ground states (4.16), [86][87][88][89][90] . Shockwaves in these geometries were considered in [70]. These backgrounds also have an exact worldsheet description as null-gauged WZW models, [26][27][28] and as in Section 7.1, one can again ask where the vertex operator wavefunctions localize in the large j ′ limit, and make a shockwave that is regularized by stringy effects.…”

“…If the product of perturbations has no low‐frequency components other than the zero mode, this deformation is also highly localized near the supertube source, and yields a slight change in the radius of the supertube from the zero mode, plus a high‐frequency perturbation. If we ignore the high‐frequency terms, we find precisely the shockwave solutions of [70].…”

Quantum Thermodynamics of a Quantum Sized AdS Black Hole

“…The AdS black holes has been constructed as solutions to supergravity approximation of string theory [49][50][51][52][53]. The thermodynamics of AdS black holes is important as it can be investigated using the thermodynamics of the conformal field theory dual to it [60,61].…”