BPS dyons and Hesse flow

Details BPS dyons and Hesse flow BPS dyons and Hesse flow

2011-11-29

arxiv.org/abs/1111.6979v2

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, references added

Scientific paper

We revisit BPS solutions to classical N=2 low energy effective gauge theories. It is shown that the BPS equations can be solved in full generality by the introduction of a Hesse potential, a symplectic analog of the holomorphic prepotential. We explain how for non-spherically symmetric, non-mutually local solutions, the notion of attractor flow generalizes to gradient flow with respect to the Hesse potential. Furthermore we show that in general there is a non-trivial magnetic complement to this flow equation that is sourced by the momentum current in the solution.

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