HET seminar: Christian Marboe

Speaker: Christian Marboe

Title: The full spectrum of planar AdS/CFT via the Quantum Spectral Curve

Abstract: The problem of solving the spectrum of planar AdS/CFT is believed to be integrable. The Quantum Spectral Curve formulates this problem in terms of a system of Q- functions that are related by difference equations, and it specifies the analytic properties of these functions.

To get physical results from this mathematical structure, one needs to actually solve it. This can be done perturbatively and numerically at any coupling. The first step in this procedure is to find a leading solution for each multiplet in the spectrum. This is traditionally done by solving Bethe equations, which is notoriously hard, but I will explain a new and more powerful technique.

The seminar will start with a quick review of PSU(2,2|4) representation theory, and it will end with a brief discussion of how the Quantum Spectral Curve can be used to find perturbative corrections to the leading solution.