Wednesday, June 19, 2013

1110.1423 (Xiaosen Han)

A Sharp Existence Theorem for Vortices in the Theory of Branes    [PDF]

Xiaosen Han
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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