Kenkyu-Honkan bldg. 1F - Kobayashi Hall
Matrix model and Yukawa couplings on the magnetized noncommutative torus
- Mr. Masaki HONDA
IKKT model was proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus, which is consistent with IKKT model, based on noncommutative geometry. In addition, we consider zero-mode equations of our Dirac operator with magnetic fluxes. We find that zero-mode solutions have chirality and generation structures similar to the commutative case. Moreover, we compute normalization factors of the zero-mode solutions and Yukawa couplings of chiral matter fields based on the star-product formalism.