Mirror Symmetry as a Poisson-Lie T-Duality

Abstract

The transformation properties of the N=2 Virasoro superalgebra generators under Poisson-Lie T-duality in (2,2)-superconformal WZNW and Kazama-Suzuki models is considered. It is shown that Poisson-Lie T-duality acts on the N=2 super-Virasoro algebra generators as a mirror symmetry does: it unchanges the generators from one of the chirality sectors while in another chirality sector it changes the sign of U(1) current and interchanges spin-3/2 currents. We discuss Kazama-Suzuki models generalization of this transformation and show that Poisson-Lie T-duality acts as a mirror symmetry also.

13 pages, latex, some comment and reference about off-shell supersymmetric PL T-duality are added

Cited by in corpus (6)

• Poisson-Lie T-plurality
• Poisson-Lie T-dual sigma models on supermanifolds
• Supersymmetric gauged WZNW models as dressing cosets
• Mirror Maps in Chern-Simons Gauge Theory
• Kazama-Suzuki Models of N=2 Superconformal Field Theory and Manin triples
• On the Quantum Poisson-Lie T-duality and Mirror Symmetry