Integrability and chaos in sYM theories from the anomalous-dimenison spectrum

Abstract: The discovery of integrability in planar $\mathcal{N}=4$ sYM theory led to considerable advances in the computation of planar anomalous dimensions. In this talk I will discuss universal statistical properties of anomalous-dimension spectra in sYM theories in the planar limit and at finite rank of the gauge group. I will show how they can give insight into the nature of the underlying model, in particular we will see integrability manifest itself in spectra of integrable spin chains, while non-planar spectra, as well as spectra of non-integrable spin chains, can be described by random matrix theory.

HEP - theory

Audience: researchers in the topic

Exact Results on Irrelevant Deformations of QFTs

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