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- W3098850770 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 θ2. 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 θ2 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." @default.
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- W3098850770 date "2000-07-18" @default.
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- W3098850770 title "From noncommutative bosonization to S-duality" @default.
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- W3098850770 doi "https://doi.org/10.1088/1126-6708/2000/07/030" @default.
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