Integrability in Hamiltonian Chern-Simons theory

1993/11/12 by Alekseev, A. Yu. · 3 citations
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.hep-th/9311074

Abstract

We consider the moduli space of flat connections on the Riemann surface with marked points. The new efficient parametrization is suggested and used to construct an integrable model on the moduli space. A family of commuting Hamiltonians is extracted from the trace of the transfer matrix built from the Wilson line observables of the Chern-Simons theory. Our model appears to be gauge equivalent to XXZ magnetic chain with finite number of sites.

Cited by

• Pivotal Module Categories, Factorization Homology and Modular Invariant Modified Traces
• The Construction of Correlators in Finite Rigid Logarithmic Conformal Field Theory
• Reflection Equivariance and the Heisenberg Picture for Spaces of Conformal Blocks

Related

• Gauge Theory and Integrability: An Overview
• Chern-Simons theory on a lattice and a new description of 3-manifolds invariants
• Representation Theory of Chern Simons Observables
• XYZ integrability the easy way
• Chern-Simons Theories and Integrability