Matrix model and Yukawa couplings on the noncommutative torus

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

References in corpus (1)

• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions