GP seminar: Mini-course on modern aspects of integrability - part 1

  • Date: –11:45
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Å92110 + Zoom
  • Lecturer: Dmytro Volin and Simon Ekhammar
  • Organiser: Matematiska institutionen
  • Contact person: Michele Del Zotto
  • Seminarium

Welcome to participate in this mini-course on modern aspects of integrability with Dmytro Volin and Simon Ekhammar. Lecture 1: Rational gl(N) Bethe algebras: From Chern classes to non-compact Young diagrams and one-loop spectrum of N=4 SYM

Lecture 1

Rational gl(N) Bethe algebras: From Chern classes to non-compact Young diagrams and one-loop spectrum of N=4 SYM

Abstract. The goal of this mini-course is to review modern techniques for spectrum computation in quantum integrable models, from original Heisenberg spin chain and up to 11-loop analytic results for non-protected quantities in planar N=4 SYM. The modern way is to shift from doing Bethe equations (old-fashioned) to algebraic/analytic/geometric description of certain commutative ring (Bethe algebra). This ring has surprising connections to objects in physics and mathematics a-priory not related to integrability. We will cover these connections, some in detail and some en passant.

Participate on site or via Zoom link  (Meeting ID: 635 0701 5729, Passcode: joint)

This mini-course is part of our seminar series on Geometry and Physics (GP). Follow the link and you will see the other parts of the course.