To $B$ or not to be in single-trace $T\bar T$ holography

TL;DR

This paper explores superstring theory on rotating BTZ black holes with deformations, demonstrating that a specific B-field value maintains consistency with single-trace T̄T holography, extending previous non-rotating black string results.

Contribution

It extends the analysis of superstring on black-string backgrounds to rotating BTZ black holes, identifying conditions under which T̄T holography remains valid.

Findings

Harmony with T̄T holography persists at a specific B-field value for rotating black strings.

The study generalizes previous non-rotating black string results to rotating cases.

Superstring configurations are consistent with holography under certain background deformations.

Abstract

Superstring theory on black-strings backgrounds, corresponding to deformed, rotating BTZ black holes, formed by $p$ fundamental strings or negative strings, is inspected. For non-rotating black strings, in the positive case, it was shown in [1] that the excitation energy of a probe long string, plus its contribution to the black-string background, is in harmony with single-trace $T\bar T$ holography, if the $B$-field vanishes at the origin. Here, we investigate the superstring on deformed, rotating BTZ black holes, for both the positive and negative cases, and find that for a particular value of the $B$-field, the harmony with single-trace $T\bar T$ holography persists.