Some Exact Solutions of String Theory in Four and Five Dimensions

TL;DR

This paper presents new exact classical solutions in string theory involving twisted products of 2D black hole cosets, leading to novel black brane configurations and axisymmetric spacetimes with horizons.

Contribution

It introduces several classes of exact solutions in bosonic string theory, including rotating black fivebrane and axisymmetric four-dimensional backgrounds.

Findings

Discovery of solutions leading to a rotating black fivebrane.

Identification of axisymmetric stationary 4D solutions with horizons.

Analysis of global properties and dualities of these solutions.

Abstract

We find several classes of exact classical solutions of critical bosonic string theory, constructed as twisted products of one Euclidean and one Minkowskian 2D black hole coset. One class of these solutions leads (after tensoring with free scalars and supersymmetrizing) to a rotating version of the recently discovered exact black fivebrane. Another class represents a one-parameter family of axisymmetric stationary four-dimensional targets with horizons. Global properties and target duality of the 4D solutions are briefly analyzed.