Matrix model and Yukawa couplings on the noncommutative torus
arXiv:1901.00095 · doi:10.1007/JHEP04(2019)079
Abstract
The IKKT model is proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus,which is consistent with the IKKT model, based on noncommutative geometry. Next, we consider zero-mode equations of the Dirac operator with magnetic fluxes. We find that zero-mode solutions have the chirality and the generation structures similar to the commutative case. Moreover, we compute Yukawa couplings of chiral matter fields.
32 pages, no figure, v3 published version