T-duality for open strings

TL;DR

This paper generalizes T-duality transformations for open and closed superstrings to curved backgrounds with isometries, addressing global aspects, boundary conditions, and effective actions to deepen understanding of string dualities.

Contribution

It extends T-duality to curved backgrounds with isometries, including global effects and boundary conditions, and analyzes transformations of effective actions and boundary states.

Findings

T-duality transformations are valid in curved backgrounds with isometries.

Global aspects like orientifold boundaries are incorporated into the framework.

Effective actions transform consistently under T-duality.

Abstract

The T-duality transformations between open and closed superstrings in different D-manifolds are generalized to curved backgrounds with commuting isometries. We address some global aspects like the occurrence of orientifold boundaries in general sigma models, higher genus world sheets, and the case of non-compact isometries. The various world volume effective actions are shown to transform properly under T-duality. We also include a brief discussion of the canonical transformations of boundary states in the operator formalism.