An abelian gauge-theoretic variant of the Seiberg-Witten equations for multiple-spinors

Minh Lam Nguyen

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arXiv · 2301.09693

An abelian gauge-theoretic variant of the Seiberg-Witten equations for multiple-spinors

Minh Lam Nguyen

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Abstract

We consider a variant of the Seiberg-Witten equations for multiple-spinors. The moduli space of solutions to our generalized Seiberg-Witten equations in the setting of K\"ahler surfaces has a direct relation with ASD connections of holomorphic vector bundle. Also in K\"ahler setting, we construct a numerical invariant from the equations that detects a notion of $\phi-$stability of $SU(n)-$holomorphic vector bundles where $\phi$ is some prescribed non-trivial holomorphic section.

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Minh Lam Nguyen. 2023-01-23. An abelian gauge-theoretic variant of the Seiberg-Witten equations for multiple-spinors. https://arxiv.org/abs/2301.09693

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