Chaotic spin chains in AdS/CFT

Seminars and colloquia
Simpkins Lee
Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU
Seminar series
Theoretical particle physics seminar
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In this talk I will discuss universal statistical properties of spectra in 4d conformal supersymmetric Yang-Mills (SYM) theories and show how they give insight into the nature of the underlying model. We will see integrability manifest itself in the planar (spin-chain) spectra of certain SYM theories, while spectra in more generic SYM theories can be described by random matrix theory, indicating the quantum-chaotic nature of the corresponding model. This provides a weak-coupling analogue of the chaotic dynamics seen for classical strings in certain dual backgrounds. Moreover, we can connect to the classical notion of chaos directly in the SYM theory by studying the semi-classical Landau-Lifshitz limit.