Quantum integrable systems from supergroup gauge theories
Journal
Journal of High Energy Physics
Journal Volume
2020
Journal Issue
9
Date Issued
2020
Author(s)
Abstract
In this note, we establish several interesting connections between the super- group gauge theories and the super integrable systems, i.e. gauge theories with supergroups as their gauge groups and integrable systems defined on superalgebras. In particular, we construct the super-characteristic polynomials of super-Toda lattice and elliptic double Calogero-Moser system by considering certain orbifolded instanton partition functions of their corresponding supergroup gauge theories. We also derive an exotic generalization of sl(2) XXX spin chain arising from the instanton partition function of SQCD with super- gauge group, and study its Bethe ansatz equation. ? 2020, The Author(s).
Type
journal article