Rotating NS5-brane solution and its exact string theoretical description

TL;DR

This paper constructs the most general rotating NS5-brane solution in type-II string theory, analyzes its thermodynamics, and provides an exact string theoretical description via duality transformations, connecting to known supersymmetric solutions.

Contribution

It introduces a comprehensive rotating NS5-brane solution and demonstrates its exact string theory description through duality, extending previous special cases.

Findings

Derived the general rotating NS5-brane solution.

Connected the solution to an exact string background via duality.

Recovered known supersymmetric multicenter solutions in the extremal limit.

Abstract

We construct the most general solution in type-II string theory that represents N coincident non-extremal rotating NS5-branes and determine the relevant thermodynamic quantities. We show that in the field theory limit, it has an exact description. In particular, it can be obtained by an O(3,3) duality transformation on the exact string background for the coset model SL(2,R)_{-N}/U(1) \times SU(2)_N. In the extreme supersymmetric limit we recover the multicenter solution, with a ring singularity structure, that has been discussed recently.