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Author Nunez, Carlos ♦ Olsen, Kasper ♦ Schiappa, Ricardo
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2000-05-07
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Mathematics ♦ Physics
Subject Keyword High Energy Physics - Theory ♦ Condensed Matter ♦ Mathematical Physics ♦ Nonlinear Sciences - Exactly Solvable and Integrable Systems ♦ math ♦ nlin ♦ physics:cond-mat ♦ physics:hep-th ♦ physics:math-ph
Abstract We extend standard path-integral techniques of bosonization and duality to the setting of noncommutative geometry. We start by constructing the bosonization prescription for a free Dirac fermion living in the noncommutative plane R_\theta^2. We show that in this abelian situation the fermion theory is dual to a noncommutative Wess-Zumino-Witten model. The non-abelian situation is also constructed along very similar lines. We apply the techniques derived to the massive Thirring model on noncommutative R_\theta^2 and show that it is dualized to a noncommutative WZW model plus a noncommutative cosine potential (like in the noncommutative Sine-Gordon model). The coupling constants in the fermionic and bosonic models are related via strong-weak coupling duality. This is thus an explicit construction of S-duality in a noncommutative field theory.
Description Reference: JHEP 0007 (2000) 030
Educational Use Research
Learning Resource Type Article
Page Count 15


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