TBA for non-perturbative moduli spaces
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.
- TBA for non-perturbative moduli spaces
- Open Access
- Available under Open Access This content is freely available online to anyone, anywhere at any time.
Journal of High Energy Physics
- Online Date
- June 2010
- Online ISSN
- Additional Links
- Supersymmetric gauge theory
- Superstrings and Heterotic Strings
- Bethe Ansatz
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