Speaker
Description
Quantum field theory in Anti de Sitter space (AdS) is a useful framework to study conformal field theories (CFTs). In this context, I will focus on the spectrum of lowest-energy N-particle states at fixed spin, which exhibit universal properties in the large-spin limit. In the absence of interactions, the states are bound by the AdS curvature, and have a degeneracy similar to the Landau levels of particles in a magnetic field. In perturbation theory, the degeneracy is lifted by a quantum mechanical N-body Hamiltonian on the hyperbolic disk. Using the theory of Berezin-Toeplitz quantization and cross-checks with exact diagonalization, I will show that the large-spin limit is semiclassical, with explicit predictions for the density of states and lowest-lying energies. As an outlook, I will comment on how this semiclassical description can be derived for general CFTs. Based on 2412.12328 with Petr Kravchuk and further work in progress.
