Starting week 38, 2024 – every Thursday from 10am - 12pm in room B1 – ending week 44, 2024

Description of the course:

This course aims to provide a pedagogical introduction to classical and quantum integrable systems. We will begin with Liouville integrability, covering fundamental concepts such as the Lax pair and the classical r-matrix. As we delve into quantum integrable systems, we will explore spin chains, and use the quantum R-matrix, which solves the quantum Yang-Baxter equation, to construct conserved charges of the spin chains. The algebraic Bethe ansatz approach to diagonalizing these charges will also be introduced. In the latter part of the course, we will focus on two-dimensional classical integrable field theories, such as the principal chiral model, emphasizing the use of Lax connections to construct conserved charges. We will also examine possible deformations of these field theories that preserve integrability.

Learning results of the course:

The objective of the course is to equip participants with a practical understanding of integrable systems, enabling them to apply this knowledge in their research, particularly in high-energy physics.

Lecturer:

Dr. Meer Ashwinkumar