Twisted bosonization in two dimensional noncommutative spacetime
Asrarul Haque, T.R. Govindarajan
TL;DR
This paper explores the twisted bosonization of the massive Thirring model in noncommutative Moyal spacetime, establishing dualities and preserving strong-weak duality through twisted commutation relations.
Contribution
It introduces twisted bosonization rules in noncommutative spacetime and demonstrates the duality between twisted bosonic and fermionic operators.
Findings
Existence of dual relationships between twisted bosonic and fermionic operators
Preservation of strong-weak duality in noncommutative spacetime
Development of twisted bosonization rules for the massive Thirring model
Abstract
We study the twisted bosonization of massive Thirring model to relate to sine-Gordon model in Moyal spacetime using twisted commutation relations. We obtain the relevant twisted bosonization rules. We show that there exists dual rela- tionship between twisted bosonic and fermionic operators. The strong-weak duality is also observed to be preserved as its commutative counterpart.
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