Sigma Models and Spin Chains
Organizers
Speaker
Viacheslav Krivorol
Time
Monday, November 17, 2025 3:20 PM - 4:30 PM
Venue
A7-201
Abstract
I will discuss the relationship between problems concerning free particles on Riemannian manifolds (one-dimensional sigma models) and spin chains. In particular, I will address the question of how to construct spin chains whose Hamiltonian spectrum reproduces the spectrum of the Laplace-Beltrami operator for some manifolds. Examples of such constructions will include the relation between quantum particles on flag manifolds (with the two-dimensional sphere being the simplest example) and XXX spin chains, as well as the connection between a particle on the hyperbolic plane and SL(2,R) spin chain.