Matrix model and Yukawa couplings on the noncommutative torus
High Energy Physics - Theory
2019-04-16 v3 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.1901.00095,
title = {Matrix model and Yukawa couplings on the noncommutative torus},
author = {Masaki Honda},
journal= {arXiv preprint arXiv:1901.00095},
year = {2019}
}
Comments
32 pages, no figure, v3 published version