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arXiv · hep-th/9710037

Mirror Symmetry as a Poisson-Lie T-Duality

S. E. Parkhomenko
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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.

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S. E. Parkhomenko. 1997-10-13. Mirror Symmetry as a Poisson-Lie T-Duality. https://doi.org/10.1142/s021773239800111x

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