Bosonized noncommutative bi-fundamental fermion and S-duality

摘要: We perform the path-integral bosonization of recently proposed noncommutative massive Thirring model (NCMT1) [JHEP 0503 (2005) 037]. This presents two types current-current interaction terms related to bi-fundamental representation group U(1). Firstly, we address a free Dirac fermion defined on (NC) euclidean plane θ2. In this case show that system is dual copies NC Wess-Zumino-Novikov-Witten model. Next, apply prescription NCMT1 living θ2 and equivalent two-copies WZNW two-field potential for scalar fields corresponding global U(1) × symmetry plus additional bosonized four interactions. The bosonic sector resembles one by Lechtenfeld et al. [Nucl. Phys. B 705 477] as sine-Gordon pair fields. fermionic couplings are strong-weak duality. both sectors some representations satisfy similar relationships up relevant re-scalings, thus times ones fundamental (anti-fundamental) eight ordinary models.