Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure
We consider 7-dimensional pseudo-Riemannian spinc manifolds with structure group G2(2)∗. On such manifolds, the space of 2-forms splits orthogonally into components Λ2M=Λ72⊕Λ142. We define self-duality of a 2-form by considering the part Λ72 as the bundle of self-dual 2-forms. We express the spinor...
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/2173214 |
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| author | Nülifer Özdemir Nedim Deǧirmenci |
| author_facet | Nülifer Özdemir Nedim Deǧirmenci |
| author_sort | Nülifer Özdemir |
| collection | DOAJ |
| description | We consider 7-dimensional pseudo-Riemannian spinc manifolds with structure group G2(2)∗. On such manifolds, the space of 2-forms splits orthogonally into components Λ2M=Λ72⊕Λ142. We define self-duality of a 2-form by considering the part Λ72 as the bundle of self-dual 2-forms. We express the spinor bundle and the Dirac operator and write down Seiberg-Witten like equations on such manifolds. Finally we get explicit forms of these equations on R4,3 and give some solutions. |
| format | Article |
| id | doaj-art-d02ac458a2524f08ab664ae1277f4eb5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d02ac458a2524f08ab664ae1277f4eb52025-02-03T01:26:51ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/21732142173214Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ StructureNülifer Özdemir0Nedim Deǧirmenci1Department of Mathematics, Anadolu University, Eskisehir, TurkeyDepartment of Mathematics, Anadolu University, Eskisehir, TurkeyWe consider 7-dimensional pseudo-Riemannian spinc manifolds with structure group G2(2)∗. On such manifolds, the space of 2-forms splits orthogonally into components Λ2M=Λ72⊕Λ142. We define self-duality of a 2-form by considering the part Λ72 as the bundle of self-dual 2-forms. We express the spinor bundle and the Dirac operator and write down Seiberg-Witten like equations on such manifolds. Finally we get explicit forms of these equations on R4,3 and give some solutions.http://dx.doi.org/10.1155/2016/2173214 |
| spellingShingle | Nülifer Özdemir Nedim Deǧirmenci Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure Advances in Mathematical Physics |
| title | Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure |
| title_full | Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure |
| title_fullStr | Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure |
| title_full_unstemmed | Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure |
| title_short | Seiberg-Witten Like Equations on Pseudo-Riemannian Spinc Manifolds with G2(2)∗ Structure |
| title_sort | seiberg witten like equations on pseudo riemannian spinc manifolds with g2 2 ∗ structure |
| url | http://dx.doi.org/10.1155/2016/2173214 |
| work_keys_str_mv | AT nuliferozdemir seibergwittenlikeequationsonpseudoriemannianspincmanifoldswithg22structure AT nedimdegirmenci seibergwittenlikeequationsonpseudoriemannianspincmanifoldswithg22structure |