Degeneracy of decadent dyons

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Published 10 March 2008 • Published under licence by IOP Publishing Ltd
, , Citation Atish Dabholkar et al JHEP03(2008)026 DOI 10.1088/1126-6708/2008/03/026

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Author affiliations

1 Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Rd, Mumbai 400 005, India

2 Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Unité Mixte de Recherche (UMR 7589), Université Pierre et Marie Curie-Paris 6, CNRS, Tour 24-25, 5ème étage, Boite 126, 4 Place Jussieu, 75252 Paris Cedex 05, France

3 Chennai Mathematical Institute, Padur PO, Siruseri 603103, India

Dates

  1. Received 7 February 2008
  2. Accepted 28 February 2008
  3. Published

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1126-6708/2008/03/026

Abstract

A quarter-BPS dyon in Script N = 4 super Yang-Mills theory is generically `decadent' in that it is stable only in some regions of the moduli space and decays on submanifolds in the moduli space. Using this fact, and from the degeneracy of the system close to the decay, a new derivation for the degeneracy of such dyons is given. The degeneracy obtained from these very simple physical considerations is in precise agreement with the results obtained from index computations in all known cases. Similar considerations apply to dyons in Script N = 2 gauge theories. The relation between the Script N = 4 field theory dyons and those counted by the Igusa cusp form in toroidally compactified heterotic string is elucidated.

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10.1088/1126-6708/2008/03/026