A Sharp Existence Theorem for Vortices in the Theory of Branes
Mathematical Physics
2013-06-19 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1110.1423,
title = {A Sharp Existence Theorem for Vortices in the Theory of Branes},
author = {Xiaosen Han},
journal= {arXiv preprint arXiv:1110.1423},
year = {2013}
}
Comments
19pages