Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity

TL;DR

This paper investigates specific BPS gauge five-brane solutions of codimension two in heterotic supergravity, revealing their geometric properties, dilaton behavior, and T-duality characteristics, contrasting with previous smeared solutions.

Contribution

It provides new explicit solutions for gauge five-branes of codimension two, analyzing their geometry, dilaton, and T-duality, which differ from earlier smeared solutions.

Findings

Geometry is asymptotically Ricci flat.

Dilaton is real-valued, not imaginary.

T-duality does not produce non-geometric objects.

Abstract

We continue to study the BPS gauge five-brane solutions of codimension two in ten-dimensional heterotic supergravity. The geometry including the dilaton and the NS-NS $B$-field are sourced from the monopole chain in $\mathbb{R}^2 \times S^1$. We find that the geometry is asymptotically Ricci flat and the dilaton is no longer imaginary valued. These properties are contrasted with the smeared counterpart discussed in our previous paper. We perform the T-duality transformations of the solution and find that it never results in a non-geometric object.