Aspects of T-duality in Open Strings

Abstract

We study T-duality for open strings in various $D$-manifolds in the approach of canonical transformations. We show that this approach is particularly useful to study the mapping of the boundary conditions since it provides an explicit relation between initial and dual variables. We consider non-abelian duality transformations and show that under some restrictions the dual is a curved $(d-\dim G-1)$ D-brane, where $d$ is the dimension of the space-time and $G$ the non-abelian symmetry group. The generalization to $N=1$ supersymmetric sigma models with abelian and non-abelian isometries is also considered.

24 pags, latex file, some references added (version to be published in Nucl. Phys. B)

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Cited by in corpus (32)

• More D-brane bound states
• Open Strings and D-branes in WZNW model
• Non-geometric backgrounds in string theory
• Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Rotating Intersecting M-Branes
• N=1 supersymmetric sigma model with boundaries, II
• p-branes from (p-2)-branes in the Bosonic String Theory
• N=2 Boundary conditions for non-linear sigma models and Landau-Ginzburg models
• Nonabelian gauge field dynamics on matrix D-branes
• The $Ad{S}_5$ non-Abelian T-dual of Klebanov-Witten as a $\mathcal{N}=1$ linear quiver from M5-branes
• N=1 supersymmetric sigma model with boundaries, I
• Strings, Branes and Extra Dimensions
• $Ad{S}_6$ T-duals and Type IIB $Ad{S}_6\times S^2$ Geometries with 7-Branes
• Duality in String Theory
• Abelian and Non-abelian D-brane Effective Actions
• Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
• D-branes in asymmetrically gauged WZW models and axial-vector duality
• Supersymmetric non-linear sigma-models with boundaries revisited
• N=1 Worldsheet Boundary Couplings and Covariance of non-Abelian Worldvolume Theory
• Worldsheet boundary conditions in Poisson-Lie T-duality
• D-branes in $\lambda$-deformations
• T-duality for the sigma model with boundaries
• The T-dual symmetries of a bosonic string
• Open-string T-duality and applications to non-geometric backgrounds
• Non-Abelian T-duality for open strings
• Open string T-duality in a weakly curved background
• D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model
• Holographic duality and applications
• Higher Derivative Corrections to the Abelian Born-Infeld Action using Superspace Methods
• Yukawa couplings from magnetized D-brane models on non-factorisable tori
• T-duality for open strings with respect to non-abelian isometries