Integrable lattice models from four-dimensional field theories

2013/08/01 by Costello, Kevin J. · 3 citations
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1308.0370

Abstract

This note gives a general construction of an integrable lattice model (and a solution of the Yang-Baxter equation with spectral parameter) from a four-dimensional field theory which is a mixture of topological and holomorphic. Spin-chain models arise in this way from a twisted, deformed version of N=1 gauge theory.

Cited by

• Solvable Quantum Circuits from Spacetime Lattices
• Integrable models from 4d holomorphic BF theory
• Higher genus twistor spaces and the celestial torus

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