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arXiv · hep-th/0205161

D-branes in asymmetrically gauged WZW models and axial-vector duality

Mark A. Walton·Jian-Ge Zhou
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Abstract

We construct D-branes in a left-right asymmetrically gauged WZW model, with the gauge subgroup embedded differently on the left and the right of the group element. The symmetry-preserving boundary conditions for the group-valued field $g$ are described, and the corresponding action is found. When the subgroup $H=U(1)$, we can implement T-duality on the axially gauged WZW action; an orbifold of the vectorially gauged theory is produced. For the parafermion $SU(2)/U(1)$ coset model, a $σ$-model is obtained with vanishing gauge field on D-branes. We show that a boundary condition surviving from the SU(2) parent theory characterizes D-branes in the parafermion theory, determining the shape of A-branes. The gauge field on B-branes is obtained from the boundary condition for A-branes, by the orbifold construction and T-duality. These gauge fields stabilize the B-branes.

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Mark A. Walton, Jian-Ge Zhou. 2002-11-01. D-branes in asymmetrically gauged WZW models and axial-vector duality. https://doi.org/10.1016/s0550-3213(02)00996-3

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