Sasakian quiver gauge theories and instantons on cones over lens 5-spaces
We consider SU(3)-equivariant dimensional reduction of Yang–Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki–Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki–Ein...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2015-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315003090 |
| _version_ | 1818971217944641536 |
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| author | Olaf Lechtenfeld Alexander D. Popov Marcus Sperling Richard J. Szabo |
| author_facet | Olaf Lechtenfeld Alexander D. Popov Marcus Sperling Richard J. Szabo |
| author_sort | Olaf Lechtenfeld |
| collection | DOAJ |
| description | We consider SU(3)-equivariant dimensional reduction of Yang–Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki–Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki–Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang–Mills equations on the associated Calabi–Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as Kähler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces. |
| first_indexed | 2024-12-20T14:48:52Z |
| format | Article |
| id | doaj.art-4d8c3760995a40e2b1e47a87d73b8122 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-20T14:48:52Z |
| publishDate | 2015-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4d8c3760995a40e2b1e47a87d73b81222022-12-21T19:37:01ZengElsevierNuclear Physics B0550-32131873-15622015-10-01899C84890310.1016/j.nuclphysb.2015.09.001Sasakian quiver gauge theories and instantons on cones over lens 5-spacesOlaf Lechtenfeld0Alexander D. Popov1Marcus Sperling2Richard J. Szabo3Institut für Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universität, Hannover Appelstraße 2, 30167 Hannover, GermanyInstitut für Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universität, Hannover Appelstraße 2, 30167 Hannover, GermanyInstitut für Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universität, Hannover Appelstraße 2, 30167 Hannover, GermanyDepartment of Mathematics, Heriot-Watt University, Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS, UKWe consider SU(3)-equivariant dimensional reduction of Yang–Mills theory over certain cyclic orbifolds of the 5-sphere which are Sasaki–Einstein manifolds. We obtain new quiver gauge theories extending those induced via reduction over the leaf spaces of the characteristic foliation of the Sasaki–Einstein structure, which are projective planes. We describe the Higgs branches of these quiver gauge theories as moduli spaces of spherically symmetric instantons which are SU(3)-equivariant solutions to the Hermitian Yang–Mills equations on the associated Calabi–Yau cones, and further compare them to moduli spaces of translationally-invariant instantons on the cones. We provide an explicit unified construction of these moduli spaces as Kähler quotients and show that they have the same cyclic orbifold singularities as the cones over the lens 5-spaces.http://www.sciencedirect.com/science/article/pii/S0550321315003090 |
| spellingShingle | Olaf Lechtenfeld Alexander D. Popov Marcus Sperling Richard J. Szabo Sasakian quiver gauge theories and instantons on cones over lens 5-spaces Nuclear Physics B |
| title | Sasakian quiver gauge theories and instantons on cones over lens 5-spaces |
| title_full | Sasakian quiver gauge theories and instantons on cones over lens 5-spaces |
| title_fullStr | Sasakian quiver gauge theories and instantons on cones over lens 5-spaces |
| title_full_unstemmed | Sasakian quiver gauge theories and instantons on cones over lens 5-spaces |
| title_short | Sasakian quiver gauge theories and instantons on cones over lens 5-spaces |
| title_sort | sasakian quiver gauge theories and instantons on cones over lens 5 spaces |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315003090 |
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