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BPS dyons and Hesse flow

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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.

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Authors and Affiliations

  1. Department of Mathematics, Galatasaray University, 34357, Ortaköy-Istanbul, Turkey

    Dieter Van den Bleeken

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  1. Dieter Van den Bleeken
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Correspondence to Dieter Van den Bleeken.

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ArXiv ePrint: 1111.6979

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Van den Bleeken, D. BPS dyons and Hesse flow. J. High Energ. Phys. 2012, 67 (2012). https://doi.org/10.1007/JHEP02(2012)067

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