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

Benjo Fraser (CUniverse Group, Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand)

Following on from a previous article [1], 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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      "value": "Following on from a previous article [1], we consider open strings in the non-Abelian T-dual of the <math><mi>S</mi><mi>U</mi><msub><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><mrow><mi>k</mi></mrow></msub></math> WZW model, with respect to the vector <math><mi>S</mi><mi>U</mi><mo>(</mo><mn>2</mn><mo>)</mo></math> 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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Published on:
13 August 2018
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 784 C (2018)

Pages 307-311
DOI:
https://doi.org/10.1016/j.physletb.2018.08.010
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: