Non-Abelian Duality for Open Strings

TL;DR

This paper explores non-abelian duality transformations in open string theory, extending known abelian T-duality to non-abelian cases, and applies the formalism to charged black hole solutions.

Contribution

It develops a general formalism for non-abelian duality in open strings and analyzes duals of target spaces with SO(N) isometries, including applications to black hole solutions.

Findings

Dual coordinates satisfy Dirichlet conditions.

The formalism reduces to known abelian T-duality for SO(2).

Applications to 4D charged black holes demonstrate the approach.

Abstract

We examine non-abelian duality transformations in the open string case. After gauging the isometries of the target space and developing the general formalism, we study in details the duals oftarget spaces with SO(N) isometries which, for the SO(2) case, reduces to the known abelian T-duals. We apply the formalism to electrically and magnetically charged 4D black hole solutions and, as in the abelian case, dual coordinates satisfy Dirichlet conditions.