Matrix model and Yukawa couplings on the noncommutative torus

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 f...

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Bibliographic Details
Main Author: Masaki Honda
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of High Energy Physics
Subjects:
M(atrix) Theories
Compactification and String Models
Non-Commutative Geometry
Online Access:http://link.springer.com/article/10.1007/JHEP04(2019)079
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spelling doaj-18be56295012463daf0988dcd834ef752020-11-25T02:28:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-04-012019412410.1007/JHEP04(2019)079Matrix model and Yukawa couplings on the noncommutative torusMasaki Honda0Department of Physics, Waseda UniversityAbstract 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.http://link.springer.com/article/10.1007/JHEP04(2019)079M(atrix) TheoriesCompactification and String ModelsNon-Commutative Geometry
collection DOAJ
language English
format Article
sources DOAJ
author Masaki Honda
spellingShingle Masaki Honda
Matrix model and Yukawa couplings on the noncommutative torus
Journal of High Energy Physics
M(atrix) Theories
Compactification and String Models
Non-Commutative Geometry
author_facet Masaki Honda
author_sort Masaki Honda
title Matrix model and Yukawa couplings on the noncommutative torus
title_short Matrix model and Yukawa couplings on the noncommutative torus
title_full Matrix model and Yukawa couplings on the noncommutative torus
title_fullStr Matrix model and Yukawa couplings on the noncommutative torus
title_full_unstemmed Matrix model and Yukawa couplings on the noncommutative torus
title_sort matrix model and yukawa couplings on the noncommutative torus
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-04-01
description 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.
topic M(atrix) Theories
Compactification and String Models
Non-Commutative Geometry
url http://link.springer.com/article/10.1007/JHEP04(2019)079
work_keys_str_mv AT masakihonda matrixmodelandyukawacouplingsonthenoncommutativetorus
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