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The non-Abelian Duality Problem



Emanuel H. Knill, E. Cobanera, Gerardo Ortiz


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.
Physical Review Letters


duality in physics, partition functions, phase transitions


Knill, E. , Cobanera, E. and Ortiz, G. (2012), The non-Abelian Duality Problem, Physical Review Letters, [online], (Accessed April 16, 2024)
Created June 6, 2012, Updated February 19, 2017