Mirror duality and noncommutative tori

Eunsang Kim, Hoil Kim
2008 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 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.
doi:10.1088/1751-8113/42/1/015206 fatcat:gv2jtgyecrfxdi326stzsjcvki