Exact Solutions of Four Dimensional Black Holes in String Theory
David Gershon
TL;DR
This paper constructs exact conformal field theory models describing four-dimensional black holes and black membranes in string theory, including charged solutions with electromagnetic fields, advancing the understanding of stringy black hole solutions.
Contribution
It introduces new exact CFT solutions for 4D black holes and membranes, including charged black holes with electromagnetic fields, using gauged WZW models.
Findings
Exact CFT models for 4D black holes and membranes
Charged black hole solutions with electromagnetic fields
Novel gauged WZW constructions for black objects
Abstract
We construct an exact CFT as an SL(2,R)xSU(2)/U(1)^2 gauged WZW model, which describes a black hole in 4 dimensions. Another exact solution, describing a black membrane in 4D (in the sense that the event horizon is an infinite plane) is found as an SL(2,R)xU(1)^2/U(1) gauged WZW model. Finally, we construct an exact solution of a 4D black hole with electromagnetic field, as an SL(2,R)xSU(2)xU(1)/U(1)^2 gauged WZW model. This black hole carries both electric and axionic charges.
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