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arXiv · 1110.1423

A Sharp Existence Theorem for Vortices in the Theory of Branes

Xiaosen Han
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Abstract

We investigate the BPS equations arising from the theory of multi-intersection of D-branes. By using the direct minimization method, we establish sharp existence and uniqueness theorems for multiple vortex solutions of the BPS equations over a doubly periodic domain and over the full plane, respectively. In particular, we obtain an explicit necessary and sufficient condition for the existence of a unique solution for the doubly periodic domain case.

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Xiaosen Han. 2013-06-18. A Sharp Existence Theorem for Vortices in the Theory of Branes. https://arxiv.org/abs/1110.1423

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