# Mirror duality and noncommutative tori

@article{Kim2007MirrorDA,
title={Mirror duality and noncommutative tori},
author={Eunsang Kim and Hoil Kim},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2007},
volume={42},
pages={015206}
}
• Published 6 October 2007
• Mathematics, Physics
• Journal of Physics A: Mathematical and Theoretical
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 conditions 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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