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

Nülifer Özdemir and Nedim Deǧirmenci

Advances in Mathematical Physics, 2016, vol. 2016, 1-7

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:2173214

DOI: 10.1155/2016/2173214

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