Exact N=2 Supergravity Solutions With Polarized Branes

TL;DR

This paper constructs exact supergravity solutions describing polarized branes, extending the understanding of string duals for confining theories with supersymmetry, and explores their T-dual counterparts.

Contribution

It provides new explicit supergravity solutions for polarized D4 and F-strings into NS5 and D2 branes, linking to confining 4+1D theories and their T-duals.

Findings

Solutions describe supersymmetric polarized branes

Connections to confining 4+1D theories with 8 supercharges

T-dual backgrounds in Type IIB string theory

Abstract

We construct several classes of exact supersymmetric supergravity solutions describing D4 branes polarized into NS5 branes and F-strings polarized into D2 branes. These setups belong to the same universality class as the perturbative solutions used by Polchinski and Strassler to describe the string dual of N=1* theories. The D4-NS5 setup can be interpreted as a string dual to a confining 4+1 dimensional theory with 8 supercharges, whose properties we discuss. By T-duality, our solutions give Type IIB supersymmetric backgrounds with polarized branes.