Symmetry breaking in quantum curves and super Chern-Simons matrix models

Abstract It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super Chern-Simons matrix model is described by...

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Main Authors: Naotaka Kubo, Sanefumi Moriyama, Tomoki Nosaka
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP01(2019)210
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author Naotaka Kubo
Sanefumi Moriyama
Tomoki Nosaka
author_facet Naotaka Kubo
Sanefumi Moriyama
Tomoki Nosaka
author_sort Naotaka Kubo
collection DOAJ
description Abstract It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super Chern-Simons matrix model is described by the free energy of topological strings on the del Pezzo background with the symmetry broken. We study the symmetry breaking of the quantum cousin of the algebraic curve and reproduce the results in the super Chern-Simons matrix model.
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spelling doaj.art-1d5123a4147146e4bb3b0e864962be6d2022-12-22T02:05:53ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112910.1007/JHEP01(2019)210Symmetry breaking in quantum curves and super Chern-Simons matrix modelsNaotaka Kubo0Sanefumi Moriyama1Tomoki Nosaka2Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto UniversityDepartment of Physics, Graduate School of Science, Osaka City UniversitySchool of Physics, Korea Institute for Advanced StudyAbstract It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super Chern-Simons matrix model is described by the free energy of topological strings on the del Pezzo background with the symmetry broken. We study the symmetry breaking of the quantum cousin of the algebraic curve and reproduce the results in the super Chern-Simons matrix model.http://link.springer.com/article/10.1007/JHEP01(2019)210Chern-Simons TheoriesM-TheoryMatrix ModelsTopological Strings
spellingShingle Naotaka Kubo
Sanefumi Moriyama
Tomoki Nosaka
Symmetry breaking in quantum curves and super Chern-Simons matrix models
Journal of High Energy Physics
Chern-Simons Theories
M-Theory
Matrix Models
Topological Strings
title Symmetry breaking in quantum curves and super Chern-Simons matrix models
title_full Symmetry breaking in quantum curves and super Chern-Simons matrix models
title_fullStr Symmetry breaking in quantum curves and super Chern-Simons matrix models
title_full_unstemmed Symmetry breaking in quantum curves and super Chern-Simons matrix models
title_short Symmetry breaking in quantum curves and super Chern-Simons matrix models
title_sort symmetry breaking in quantum curves and super chern simons matrix models
topic Chern-Simons Theories
M-Theory
Matrix Models
Topological Strings
url http://link.springer.com/article/10.1007/JHEP01(2019)210
work_keys_str_mv AT naotakakubo symmetrybreakinginquantumcurvesandsuperchernsimonsmatrixmodels
AT sanefumimoriyama symmetrybreakinginquantumcurvesandsuperchernsimonsmatrixmodels
AT tomokinosaka symmetrybreakinginquantumcurvesandsuperchernsimonsmatrixmodels