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

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  • Nülifer Özdemir
  • Nedim Deǧirmenci

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.

Suggested Citation

  • Nülifer Özdemir & Nedim Deǧirmenci, 2016. "Seiberg‐Witten Like Equations on Pseudo‐Riemannian Spinc Manifolds with G22()∗ Structure," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:2173214
    DOI: 10.1155/2016/2173214
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