A Geometric Derivation of the Dyon Wall-Crossing Group

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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.
37 pages, 5 figures

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/228187

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.1758
 http://arxiv.org/abs/0901.1758
 JHEP 0904:067,2009
 doi:10.1088/1126-6708/2009/04/067

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arXiv