Quantum integrable systems from supergroup gauge theories

Journal of High Energy Physics

Norton Lee¹  Heng-Yu Chen²  Taro Kimura³ 

[1] C.N. Yang Institute for Theoretical Physics, Stony Brook University, 11794, Stony Brook, NY, USA;Department of Physics, National Taiwan University, 10617, Taipei, Taiwan;Institut de Mathématiques de Bourgogne, Université Bourgogne Franche-Comté, 21078, Dijon, France;

关键词: D-branes;    Lattice Integrable Models;    Solitons Monopoles and Instantons;    Supersymmetric Gauge Theory;   

DOI  :  10.1007/JHEP09(2020)104

来源: Springer

【 摘 要 】

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 ??(2) XXX spin chain arising from the instanton partition function of SQCD with super- gauge group, and study its Bethe ansatz equation.

【 授权许可】

CC BY