English

Surface defects and elliptic quantum groups

High Energy Physics - Theory 2017-06-09 v3 Mathematical Physics math.MP Quantum Algebra

Abstract

A brane construction of an integrable lattice model is proposed. The model is composed of Belavin's R-matrix, Felder's dynamical R-matrix, the Bazhanov-Sergeev-Derkachov-Spiridonov R-operator and some intertwining operators. This construction implies that a family of surface defects act on supersymmetric indices of four-dimensional N=1\mathcal{N} = 1 supersymmetric field theories as transfer matrices related to elliptic quantum groups.

Keywords

Cite

@article{arxiv.1701.05562,
  title  = {Surface defects and elliptic quantum groups},
  author = {Junya Yagi},
  journal= {arXiv preprint arXiv:1701.05562},
  year   = {2017}
}

Comments

31 pages. v2: minor changes and corrections; v3: minor improvements, published version

R2 v1 2026-06-22T17:54:33.150Z