A Geometric Derivation of the Dyon Wall-Crossing Group

Details A Geometric Derivation of the Dyon Wall-Crossing Group A Geometric Derivation of the Dyon Wall-Crossing Group

2009-01-13

arxiv.org/abs/0901.1758v1

JHEP 0904:067,2009

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, 5 figures

Scientific paper

10.1088/1126-6708/2009/04/067

Recently, using supergravity analysis, a hyperbolic reflection group was found to underlie the structure of wall-crossing, or the discontinuous moduli dependence of the supersymmetric index due to the presence of walls of marginal stability, of the BPS dyons in the N=4, d=4 compactification. In this paper we work in the regime where four-dimensional gravity decouples and we show how the presence of such a group structure can be easily understood as a consequence of the supersymmetry of a system of (p,q) five-brane network, or equivalently the holomorphicity of the Riemann surface wrapped by the appropriate M5 branes in the Euclidean M-theory frame.

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