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

Gauge theory and integrability continued.

Four-dimensional gauge theory and integrability.

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

Integrable massice theories, the scattering matrix and YBE.

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

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

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

Gross-Neveu model, monodromy matrices.

OPEs and Correlation functions.

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

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

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