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
Pub Type: Journals
duality in physics, partition functions, phase transitions