The master T -operator for inhomogeneous XXX spin chain and mKP hierarchy

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Following the approach of [Alexandrov A., Kazakov V., Leurent S., Tsuboi Z., Zabrodin A., J. High Energy Phys. 2013 (2013), no. 9, 064, 65 pages, arXiv:1112.3310], we show how to construct the master T-operator for the quantum inhomogeneous GL(N) XXX spin chain with twisted boundary conditions. It satisfies the bilinear identity and Hirota equations for the classical mKP hierarchy. We also characterize the class of solutions to the mKP hierarchy that correspond to eigenvalues of the master T-operator and study dynamics of their zeros as functions of the spectral parameter. This implies a remarkable connection between the quantum spin chain and the classical Ruijsenaars-Schneider system of particles.

Original languageEnglish
Article number006
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume10
DOIs
Publication statusPublished - 11 Jan 2014
Externally publishedYes

Keywords

  • Classical many-body systems
  • Master T-operator
  • Quantum integrable spin chains
  • Quantum-classical correspondence
  • Tau-function

Fingerprint

Dive into the research topics of 'The master T -operator for inhomogeneous XXX spin chain and mKP hierarchy'. Together they form a unique fingerprint.

Cite this