Black strings in AdS_5

TL;DR

This paper constructs and analyzes non-extremal magnetic black string solutions in five-dimensional gauged supergravity, exploring their phase transitions, holographic properties, and supersymmetric wave solutions.

Contribution

It introduces new non-extremal magnetic black string solutions, analyzes their phase structure, and finds supersymmetric wave solutions with Siklos-Virasoro invariance.

Findings

First order phase transition from small to large black strings

Existence of a critical magnetic charge where anomalies cancel

Supersymmetric wave solutions with reparametrization invariance

Abstract

We present non-extremal magnetic black string solutions in five-dimensional gauged supergravity. The conformal infinity is the product of time and S^1xS_h, where S_h denotes a compact Riemann surface of genus h. The construction is based on both analytical and numerical techniques. We compute the holographic stress tensor, the Euclidean action and the conserved charges of the solutions and show that the latter satisfy a Smarr-type formula. The phase structure is determined in the canonical ensemble, and it is shown that there is a first order phase transition from small to large black strings, which disappears above a certain critical magnetic charge that is obtained numerically. For another particular value of the magnetic charge, that corresponds to a twisting of the dual super Yang-Mills theory, the conformal anomalies coming from the background curvature and those arising from the coupling to external gauge fields exactly cancel. We also obtain supersymmetric solutions describing waves propagating on extremal BPS magnetic black strings, and show that they possess a Siklos-Virasoro reparametrization invariance.