PSI 2017/2018 - Quantum Integrable Models (Costello & Weekes)

Vertex model of stat mech. The monodromy and transfer matrices.

The Yang Baxter Equation and commuting transfer matrices.

The XXX spin chain. Monodromy matrices and the RTT relation. The Yangian.

From vertex to continuum models. 2d chiral+antichiral theory with quadratic coupling.

Currents, monodromy matrix as a conserved charge, path independence.

OPEs and Correlation functions.

Gross-Neveu model, monodromy matrices.

Kahler sigma models, integrable sigma model on 2-sphere.

Integrable deformations of "chiral x anti-chiral" theories as solution to CYBE.

Beta function of "chiral x anti-chiral+JJ" theory, RG flow.

Integrable massice theories, the scattering matrix and YBE.

Gross-Neveu model, large N limit, spontaneous symmetry breaking.