The star-triangle relation and 3d superconformal indices
High Energy Physics - Theory
2015-09-01 v2 Statistical Mechanics
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Superconformal indices of 3d N=2 supersymmetric field theories are investigated from the Yang-Baxter equation point of view. Solutions of the star-triangle relation, vertex and IRF Yang-Baxter equations are expressed in terms of the q-special functions associated with these 3d indices. For a two-dimensional monopole-spin system on the square lattice a free energy per spin is explicitly determined. Similar to the partition functions, superconformal indices of 3d theories with the chiral symmetry breaking reduce to Dirac delta functions with the support on chemical potentials of the preserved flavor groups.
Cite
@article{arxiv.1505.00765,
title = {The star-triangle relation and 3d superconformal indices},
author = {I. Gahramanov and V. P. Spiridonov},
journal= {arXiv preprint arXiv:1505.00765},
year = {2015}
}
Comments
20 pages, v2: minor corrections, comments and refs. added