Wilson lines for AdS_5 black strings

TL;DR

This paper presents a simple, supersymmetric method to extend AdS_5 black string solutions by adding Wilson lines, which automatically generate electric charges through a 5d Witten effect, without altering the geometry.

Contribution

It introduces a model-independent approach to add electric charges to existing solutions via Wilson lines, leveraging the structure of 5d supergravity with Chern-Simons terms.

Findings

Explicit construction of generalized black string solutions with electric charges.

Demonstration of electric charge generation via the Witten effect in 5d supergravity.

Discussion of implications for dual field theories and related black hole solutions.

Abstract

We describe a simple method of extending AdS_5 black string solutions of 5d gauged supergravity in a supersymmetric way by addition of Wilson lines along a circular direction in space. When this direction is chosen along the string, and due to the specific form of 5d supergravity that features Chern-Simons terms, the existence of magnetic charges automatically generates conserved electric charges in a 5d analogue of the Witten effect. Therefore we find a rather generic, model-independent way of adding electric charges to already existing solutions with no backreaction from the geometry or breaking of any symmetry. We use this method to explicitly write down more general versions of the Benini-Bobev black strings and comment on the implications for the dual field theory and the similarities with generalizations of the Cacciatori-Klemm black holes in AdS_4.