Seiberg‐Witten Like Equations on Pseudo‐Riemannian Spinc Manifolds with G22()∗ Structure

Nülifer Özdemir and Nedim Deǧirmenci

Advances in Mathematical Physics, 2016, vol. 2016, issue 1

Abstract: We consider 7‐dimensional pseudo‐Riemannian spinc manifolds with structure group G22()∗. 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.

Date: 2016
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https://doi.org/10.1155/2016/2173214

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:2173214

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