Decrypting the warped black strings

TL;DR

This paper develops a holographic framework to interpret the metrics of warped AdS_3 black strings in type IIB supergravity, enabling the calculation of physical quantities consistent with covariant methods.

Contribution

It introduces a new holographic map based on Papadimitriou's prescription for warped AdS_3 black strings, providing a conserved stress tensor and consistent physical quantities.

Findings

Holographic stress tensor is symmetric and conserved in a specific sector.

Energy, momentum, and conformal anomaly match previous covariant results.

Framework facilitates understanding of warped AdS_3 black strings in holography.

Abstract

We propose a map for extracting the holographic meaning of the metric for a class of warped AdS_3 black strings in type IIB supergravity. Our choice of holographic data is based upon a general prescription due to Papadimitriou. With this choice, we find a holographic stress tensor that is both symmetric and conserved, at least when restricted to a particular sector of the theory. Using the holographic stress tensor, we compute the energy and momentum per unit length of the black strings, as well as the conformal anomaly, and we show that the results agree with those previously obtained via covariant methods.