62 articles – 638 references  [version française]
HAL: hal-00468456, version 1

Detailed view  Export this paper
Journal of High Energy Physics (2010) 066
TBA for non-perturbative moduli spaces
Sergey Alexandrov1, Philippe ROCHE1
(2010-06-18)

Recently, an exact description of instanton corrections to the moduli spaces of 4d N=2 supersymmetric gauge theories compactified on a circle and Calabi-Yau compactifications of Type II superstring theories was found. The equations determining the instanton contributions turn out to have the form of Thermodynamic Bethe Ansatz. We explore further this relation and, in particular, we identify the contact potential of quaternionic string moduli space with the free energy of the integrable system and the Kahler potential of the gauge theory moduli space with the Yang-Yang functional. We also show that the corresponding S-matrix satisfies all usual constraints of 2d integrable models, including crossing and bootstrap, and derive the associated Y-system. Surprisingly, in the simplest case the Y-system is described by the MacMahon function relevant for crystal melting and topological strings.
1:  LPTA - Laboratoire de Physique Théorique et Astroparticules
Physics/High Energy Physics - Theory
Fulltext link: 
http://fr.arXiv.org/abs/1003.3964