D-branes and T-duality

TL;DR

This paper explores how T-duality relates D-branes in supergravity solutions and their actions, revealing effects like a topological mass term induced by a cosmological constant in IIA theory.

Contribution

It demonstrates the realization of T-duality on D-brane solutions and actions, and uncovers the impact of a cosmological constant on worldvolume gauge fields.

Findings

T-duality maps p-brane solutions in IIA/IIB supergravity.

D-brane actions transform consistently under T-duality.

A cosmological constant induces a topological mass term in 2-brane gauge fields.

Abstract

We show how the $T$--duality between $D$--branes is realized (i) on $p$--brane solutions $(p=0,\cdots ,9)$ of IIA/IIB supergravity and (ii) on the $D$--brane actions ($p=0,\cdots ,3)$ that act as source terms for the $p$--brane solutions. We point out that the presence of a cosmological constant in the IIA theory leads, by the requirement of gauge invariance, to a topological mass term for the worldvolume gauge field in the 2--brane case.