T-duality for the sigma model with boundaries

Abstract

We derive the most general local boundary conditions necessary for T-duality to be compatible with superconformal invariance of the two-dimensional N=1 supersymmetric nonlinear sigma model with boundaries. To this end, we construct a consistent gauge invariant parent action by gauging a U(1) isometry, with and without boundary interactions. We investigate the behaviour of the boundary conditions under T-duality, and interpret the results in terms of D-branes.

arXiv comment48 pages, LaTeX, v2: typos corrected, references added

References in corpus (13)

• Duality, Quotients, and Currents
• Duality Symmetries from Non--Abelian Isometries in String Theories
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Some Global Aspects of Duality is String Theory
• T-duality for open strings
• N=1 supersymmetric sigma model with boundaries, II
• Consistent Boundary Conditions for Open Strings
• O(d,d;R) Deformations of Complex Structures and Extended Worldsheet Supersymmetry
• N=1 supersymmetric sigma model with boundaries, I
• Aspects of T-duality in Open Strings
• T-Duality and Non-Local Supersymmetries
• D-branes in N=2 WZW models
• Boundary Conditions, Supersymmetry and A-field Coupling for an Open String in a B-field Background

Cited by in corpus (8)

• Non-geometric backgrounds in string theory
• Consistent boundary conditions for supergravity
• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• Worldsheet boundary conditions in Poisson-Lie T-duality
• T-duality and Generalized Complex Geometry
• Open-string T-duality and applications to non-geometric backgrounds
• Non-invertible symmetries of two-dimensional Non-Linear Sigma Models
• T-duality with $H$-flux for $2d$ $\sigma$-models