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arXiv · 1806.00713

D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model

Benjo Fraser
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Abstract

Following on from arXiv:1805.03657, we consider open strings in the non-Abelian T-dual of the $SU(2)_k$ WZW model, with respect to the vector $SU(2)$ isometry. Since in this case the dual theory has an exact CFT description, we look at the chiral algebra-preserving D-branes. The general conclusion is that a large set of branes, while consistent boundary conditions on the worldsheet, are sent to infinity in the target space. This suggests inconsistency of the strict non-Abelian duality with open strings, in this case.

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Benjo Fraser. 2018-06-02. D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model. https://doi.org/10.1016/j.physletb.2018.08.010

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