THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION

Year 2017, Volume: 5 Issue: 1, 187 - 192, 03.04.2017

SERHAN Eker

https://izlik.org/JA99ZP49TW

Abstract

Seiberg-Witten equations which are formed by Dirac equation and Curvature-equation, have some generalizations on 8􀀀dimensional manifold [1, 3, 5]. In this paper we consider the $Spin^c$-structure which was given in [1]. Then by using this $Spin^c$-structure, we examine the curvature equations which were given in [1, 3]. Finally we show the equivalence between them.

Keywords

Seiberg-Witten equations; spinor; Dirac operator , curvature , self-duaility.

References

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