2024/2025

Research Seminar "Integrability in Quantum Field Theory 2"

Type: Optional course (faculty)

Delivered by: Faculty of Mathematics

Where: Faculty of Mathematics

When: 3, 4 module

Open to: students of all HSE University campuses

Instructors: Mikhail Alfimov

Language: English

ECTS credits: 6

Contact hours: 72

Course Syllabus

Abstract

This course is organized in the form of weekly seminars, where we are going to discuss the integrability structures appearing in quantum field theory. These structures nowadays are present in numerous examples, such as sigma models, supersymmetric gauge theories, string theories, gauge/string dualities, scattering amplitudes and correlation functions etc. As pedagogical examples of the integrable systems solved by the Bethe Ansatz method Bose gas and Principal Chiral Field models will be considered in the first part of the course together with the foundations of the AdS/CFT correspondence for the case of 4-dimensional superconformal gauge theory. In the second part of the course there will be given an introduction into the applications of the theory of integrable systems to the study of the spectrum of $\mathcal{N}=4$ supersymmetric Yang\Ч Mills theory and dual superstring theory on the $\text{AdS}_5\times\text{S}^5$ background and we will study integrable deformations of sigma models. The course is intended for PhD and Master students. Postdocs and Bachelor students are also welcome.