Speaker: Florian Ermer (HU Berlin)

Title: Computational Aspects of the One-Loop Dilatation Operator in Planar N=4 Super-Yang–Mills Theory

Abstract:
This talk focuses on the computational construction and analysis of the one-loop dilatation operator in planar N=4 Super-Yang–Mills theory. After an overview of the relevant representation theory of the superconformal algebra psu(2,2|4), I present a computational framework that translates local gauge-invariant operators into spin chain states via the oscillator formalism. A central part of the talk is devoted to the computational implementation of this mapping, including the algorithmic construction of local operators and the explicit computation of the one-loop Hamiltonian acting on them. This setup enables a systematic study of spectral properties from a computational perspective.