TBA for non-perturbative moduli spaces

Details TBA for non-perturbative moduli spaces TBA for non-perturbative moduli spaces

2010-03-21

arxiv.org/abs/1003.3964v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 1 figure

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

TBA for non-perturbative moduli spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with TBA for non-perturbative moduli spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and TBA for non-perturbative moduli spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-316411