Supersymmetric and non-supersymmetric Seiberg-like dualities for gauged Wess-Zumino-Witten theories, realised on branes

摘要

In this work we extend the results of previous derivations of Seiberg-like dualities (level-rank duality) between gauged Wess-Zumino-Witten theories. The arguments in use to identify a potential dual for the supersymmetric WZW theory based on the coset U(N+M)(k)/U(N)(k) can be extended to be applied to a wider variety of gauge groups, notably USp(2N+2M)(2k)/USp(2N)(2k) and SO(2N+2M)(2k)/SO(2N)(2k), which will be dealt with briefly. Most i nterestingly, non-supersymmetric versions of the latter theories can also be shown to have duals in a similar fashion. These results are supported by several pieces of evidence, string phenomenological interpretations of Seiberg duality, even in non-supersymmetric backgrounds, are helpful to justify the formulation, then, from field theory, quantities such as central charges or Witten indices are shown to match exactly. The stability of these non-supersymmetric models is also discussed and shown to be consistent. (C) 2015 The Author. Published by Elsevier B.V.