BPS dyons and Hesse flow


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Van den Bleeken D.

JOURNAL OF HIGH ENERGY PHYSICS, no.2, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2012
  • Doi Number: 10.1007/jhep02(2012)067
  • Title of Journal : JOURNAL OF HIGH ENERGY PHYSICS

Abstract

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.