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Publication Citation: The non-Abelian Duality Problem

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Author(s): Emanuel H. Knill; E. Cobanera; Gerardo Ortiz;
Title: The non-Abelian Duality Problem
Published: June 06, 2012
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.
Citation: Physical Review Letters
Keywords: duality in physics,partition functions,phase transitions
Research Areas: Quantum Physics
PDF version: PDF Document Click here to retrieve PDF version of paper (200KB)