A Geometric Derivation of the Dyon Wall-Crossing Group

Miranda C.N. Cheng, Lotte Hollands

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.
Original languageEnglish
Number of pages28
JournalJournal of High Energy Physics
Volume04
Issue number067
DOIs
Publication statusPublished - 17 Apr 2009

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