Quantum spin systems and supersymmetric gauge theories. Part I

Norton Lee, Nikita Nekrasov

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The relation between supersymmetric gauge theories in four dimensions and quantum spin systems is exploited to find an explicit formula for the Jost function of the N site sl2X X X spin chain (for infinite dimensional complex spin representations), as well as the SLN Gaudin system, which reduces, in a limiting case, to that of the N-particle periodic Toda chain. Using the non-perturbative Dyson-Schwinger equations of the supersymmetric gauge theory we establish relations between the spin chain commuting Hamiltonians with the twisted chiral ring of gauge theory. Along the way we explore the chamber dependence of the supersymmetric partition function, also the expectation value of the surface defects, giving new evidence for the AGT conjecture.

Original languageEnglish
Article number93
JournalJournal of High Energy Physics
Volume2021
Issue number3
DOIs
Publication statusPublished - Mar 2021
Externally publishedYes

Keywords

  • Bethe Ansatz
  • Lattice Integrable Models
  • Solitons Monopoles and Instantons
  • Supersymmetric Gauge Theory

Fingerprint

Dive into the research topics of 'Quantum spin systems and supersymmetric gauge theories. Part I'. Together they form a unique fingerprint.

Cite this