Ref HAL: hal-00468456_v1
Ref Arxiv: 1003.3964
DOI: 10.1007/JHEP06(2010)066
WoS: 000279630800013
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
13 Citations
Résumé:

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.

Commentaires: 25 pages, 1 figure