TBA for non-perturbative moduli spaces

Abstract : 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.
Type de document :
Article dans une revue
Journal of High Energy Physics, Springer, 2010, pp.066. 〈10.1007/JHEP06(2010)066〉
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Contributeur : Logiciel Aigle <>
Soumis le : mardi 30 mars 2010 - 20:23:55
Dernière modification le : jeudi 15 mars 2018 - 09:44:05

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Sergey Alexandrov, Philippe Roche. TBA for non-perturbative moduli spaces. Journal of High Energy Physics, Springer, 2010, pp.066. 〈10.1007/JHEP06(2010)066〉. 〈hal-00468456〉



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