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}
}
  • Eunsang KimHoil Kim
  • 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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