INTRODUCTION TO FOUR-DIMENSIONAL CHERN-SIMONS THEORY, AN

The aim of this book is to provide a pedagodical yet comprehensive review of various aspects of four-dimensional Chern-Simons theory, a quantum field theory that has emerged as an organizing principle for various integrable systems, such as integrable spin chains, integrable lattice models, and two-dimensional integrable quantum field theories. Among topics covered are the derivation of the Yang-Baxter equation and its solutions, the Yangian algebra, realizations of two-dimensional integrable field theories and their Lax operators, string-theoretic embeddings of four-dimensional Chern-Simons theory, holographic duals of the theory, as well as dualities of integrable quantum field theories.

Contents:

• Integrable Lattice Models from 4D Chern–Simons Theory
• Integrable Field Theories from 4D Chern–Simons Theory
• 4D Chern–Simons Theory from Supersymmetric Gauge Theory and String Theory
• 4D Chern–Simons Theory with Boundary and Holography
• Toward Quantization and Dualities of Integrable Field Theories

Readership: The target readership primarily consists of researchers working on high energy physics , mathematical physics, and mathematicians studying quantum groups. This includes advanced postgraduate students. This book could be useful for advanced courses on quantum field theory and integrable systems.