Mirror duality and noncommutative tori

Details Mirror duality and noncommutative tori Mirror duality and noncommutative tori

2007-10-06

arxiv.org/abs/0710.1380v1

J.Phys.A42:015206,2009

Physics

High Energy Physics

High Energy Physics - Theory

22pages, no figures

Scientific paper

10.1088/1751-8113/42/1/015206

In this paper, we study a mirror duality on a generalized complex torus and a
noncommutative complex torus. First, we derive a symplectic version of Riemann
condition using mirror duality on ordinary complex tori. Based on this we will
find a mirror correspondence on generalized complex tori and generalize the
mirror duality on complex tori to the case of noncommutative complex tori.

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