More on Boundary Conditions for Warped AdS3 in GMG

TL;DR

This paper investigates boundary conditions for Warped AdS3 in General Massive Gravity, constructing the phase space and asymptotic symmetries, and compares black hole entropy with Warped Conformal Field Theory predictions.

Contribution

It extends the understanding of boundary conditions and asymptotic symmetries for Warped AdS3 in GMG, including phase space construction and entropy comparison with WCFT.

Findings

Finite but non-integrable global surface charges identified.

Conditions for charge integrability established.

Bulk entropy matches WCFT state count.

Abstract

In this paper, we study the Aggrawal, Ciambelli, Detournay, and Somerhausen (ACDS) boundary conditions ref[42] for Warped AdS$_3$ (WAdS$_3$) in the framework of General Massive Gravity (GMG) in the quadratic ensemble. We construct the phase space, the asymptotic structure, and the asymptotic symmetry algebra. We know that the global surface charges are finite, but not integrable, and also we find the conditions to make them integrable. In addition, to confirm that the phase space has the same symmetry as that of Warped Conformal Field Theory (WCFT), we compare the bulk entropy of Warped BTZ (WBTZ) black holes with the number of states belonging to a WCFT.