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Seiberg-Witten Like Equations on Pseudo-Riemannian Manifolds with Structure

Author

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  • Nülifer Özdemir
  • Nedim Deǧirmenci

Abstract

We consider 7-dimensional pseudo-Riemannian manifolds with structure group . On such manifolds, the space of 2-forms splits orthogonally into components . We define self-duality of a 2-form by considering the part 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 and give some solutions.

Suggested Citation

  • Nülifer Özdemir & Nedim Deǧirmenci, 2016. "Seiberg-Witten Like Equations on Pseudo-Riemannian Manifolds with Structure," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-7, January.
    • Handle: RePEc:hin:jnlamp:2173214
    DOI: 10.1155/2016/2173214
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    1. Lipina, Svetlana (Липина, Светлана) & Smirnova, Olga (Мирнова, Ольга) & Agapova, Elena (Агапова, Елена) & Lipina, A.V. (Липина, А.В.), 2017. "The Development of the 'Green' Economy in Russia: Opportunities and Prospects [Развитие «Зелёной» Экономики В России: Возможности И Перспективы]," Working Papers 051726, Russian Presidential Academy of National Economy and Public Administration.

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