Chaotic spin chains in AdS/CFT

A bstract We consider the spectrum of anomalous dimensions in planar $$ \mathcal{N} N = 4 supersymmetric Yang-Mills theory and its 1 super-conformal Leigh-Strassler deformations. The two-loop truncation integrable dilatation operator SU(2) sector, which is a next-to-nearest-neighbour deformation XXX spin chain, not strictly at finite coupling we show that it indeed has Wigner-Dyson level statistics. However, find only weakly chaotic sense cross-over to dynamics slower than for generic systems. For deformed with parameters, one-loop SU(3) sector chaotic, well described by GUE Random Matrix Theory. imaginary- β deformation, statistics are GOE transition from limit system. This provides weak-coupling analogue seen classical strings dual background. further study chains semi-classical generalised Landau-Lifshitz models, also known describe large-angular-momentum string solutions theory. higher-derivative following maximal Lyapunov exponent close zero, consistent absence dynamics. theory, resulting model classically values parameter.