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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ArXiv ePrint: 1901.00095
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Honda, M. Matrix model and Yukawa couplings on the noncommutative torus. J. High Energ. Phys. 2019, 79 (2019). https://doi.org/10.1007/JHEP04(2019)079
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DOI: https://doi.org/10.1007/JHEP04(2019)079