The non-Abelian Duality Problem

E. Cobanera; G. Ortiz; E. Knill

doi:10.1016/j.nuclphysb.2013.10.018

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arXiv · 1206.1367

The non-Abelian Duality Problem

E. Cobanera·G. Ortiz·E. Knill

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Abstract

We exploit a new theory of duality transformations to construct dual representations of models incompatible with traditional duality transformations. Hence we obtain a solution to the long-standing problem of non-Abelian dualities that hinges on two key observations: (i) from the point of view of dualities, whether the group of symmetries of a model is or is not Abelian is unimportant, and (ii) the new theory of dualities that we exploit includes traditional duality transformations, but also introduces in a natural way more general transformations.

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E. Cobanera, G. Ortiz, E. Knill. 2012-06-06. The non-Abelian Duality Problem. https://doi.org/10.1016/j.nuclphysb.2013.10.018

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