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

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.

arXiv comment11 pages, 4 figures

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Cited by in corpus (2)

• D-branes in $\lambda$-deformations
• Integrable branes in generalized $\lambda$-deformations