Knill, E.
, Cobanera, E.
and Ortiz, G.
(2012),
The non-Abelian Duality Problem, Physical Review Letters, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=911428
(Accessed October 17, 2025)
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The non-Abelian Duality Problem
Published
Author(s)
, E. Cobanera, Gerardo Ortiz
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
Pub Type
Journals
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Keywords
duality in physics, partition functions, phase transitions
Citation
Issues
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Created June 6, 2012, Updated February 19, 2017