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arXiv · 1901.00095

Matrix model and Yukawa couplings on the noncommutative torus

Masaki Honda
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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.

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Masaki Honda. 2019-04-15. Matrix model and Yukawa couplings on the noncommutative torus. https://doi.org/10.1007/jhep04(2019)079

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