Four Dimensional Stringy Black Membrane

TL;DR

This paper constructs an exact conformal field theory for a four-dimensional black membrane background using gauged WZW models, and explores duality transformations leading to different membrane solutions.

Contribution

It introduces a novel four-dimensional black membrane model via chiral gauging of an SL(2,R) WZW model and analyzes its duality-related solutions.

Findings

Exact conformal field theory for a 4D black membrane

Construction of duality-transformed membrane solutions

Identification of the target space as a four-dimensional black membrane

Abstract

An exact conformal field theory describing a four dimensional singular string background is obtained by chiral gauging a $U(1)$ subgroup along with translations in $R$ of an $SL(2,R)\times R$ Wess-Zumino-Witten model. It is shown that the target space-time describes a four dimensional black membrane. Furthermore various duality transformed solutions are constructed. These are also shown to correspond to various forms of four dimensional black membranes.