TBA for non-perturbative moduli spaces

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Article

DOI: 10.1007/JHEP06(2010)066

Cite this article as:
Alexandrov, S. & Roche, P. J. High Energ. Phys. (2010) 2010: 66. doi:10.1007/JHEP06(2010)066
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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 Kähler 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.

Keywords

Supersymmetric gauge theory Superstrings and Heterotic Strings Bethe Ansatz 
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© The Author(s) 2010

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  1. 1.Laboratoire de Physique Théorique & Astroparticules, CNRS UMR 5207Université Montpellier IIMontpellier Cedex 05France

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