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2019

Chaos bound in Bershadsky-Polyakov theory

David, Justin R., Hollowood, Timothy J., Khetrapal, Surbhi et al.

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We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator \Phi with large dimension \Delta_\Phi ~ O(c) at spatial infinities in the thermal state.

We argue that correlation functions of light operators in such a state can be viewed as thermal correlators with a rescaled effective temperature.
The effective temperature controls the growth of out-of-time order (OTO) correlators and results in a violation of the universal upper bound on the associated Lyapunov exponent when \Delta_\Phi <0 and the CFT is nonunitary.
We present a specific realization of this situation in the holographic Chern-Simons formulation of a CFT with {W}^{(2)}_3 symmetry also known as the Bershadsky-Polyakov algebra.