Abstract
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)kU(N)k can be extended to be applied to a wider variety of gauge groups, notably USp(2N+2M)2kUSp(2N)2k and SO(2N+2M)2kSO(2N)2k, which will be dealt with briefly. Most interestingly, 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.
Highlights
The use of branes and assemblages thereof has proven to be a fruitful area of investigation in which to probe properties of string theory, field theory, and the bridges that exist between them
Progress has been made in that direction : starting from some of the very simplest, explicitly non-supersymmetric set-ups [2], it has been argued that phenomena such as dynamical symmetry breaking can still be made sense of, using analogous notions, which started interest in this direction
When we draw this invariant plane to lie along a stack of N branes, upon which we look at the field-theory modes, it projects the full U (N ) gauge symmetry of the stack of branes down to one of its two subgroups of definite symmetry under transposition: SO(2N ) or U Sp(2N ), which possess antisymmetric and symmetric generators respectively
Summary
The use of branes and assemblages thereof has proven to be a fruitful area of investigation in which to probe properties of string theory, field theory, and the bridges that exist between them. The Hanany-Witten construction [1] provides an ideal laboratory to embed field theories in string theory, the properties of which we can use as tools to propose, and to some extent justify, advanced concepts and notions in field theory. These models have the specificity of being supersymmetric by nature, and it is usually unclear if we can make analogous statements in nonsupersymmetric scenarios. We present more extensions of recently published results [12] which describe a variant of such Seiberg dualities in the case of gauged Wess-Zumino-Witten theories, constructed as defects in the brane picture. Using many of the very same tools used generically to analyse these situations, we will show that there are seemingly no obstacles in performing the generalisations in question
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