David, Justin R and Hollowood, Timothy J and Khetrapal, Surbhi and Kumar, S. Prem (2019) Chaos bound in BershadskyPolyakov theory. In: JOURNAL OF HIGH ENERGY PHYSICS (10).

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Abstract
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) similar to 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 outoftime 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 ChernSimons formulation of a CFT with W3((2)) symmetry also known as the BershadskyPolyakov algebra. We examine the precise correspondence between the semiclassical (largec) representations of this algebra and the ChernSimons formulation, and infer that the holographic CFT possesses a discretuum of degenerate ground states with negative conformal dimension Delta(Phi) = c/8. Using the Wilson line prescription to compute entanglement entropy and OTO correlators in the holographic CFT undergoing a local quench, we find the Lyapunov exponent lambda(L) = 4 pi/beta, violating the universal chaos bound.
Item Type:  Journal Article 

Publication:  JOURNAL OF HIGH ENERGY PHYSICS 
Publisher:  SPRINGER 
Additional Information:  copyright to this article belongs to Springer Verlag 
Keywords:  AdSCFT Correspondence; Conformal and W Symmetry; Conformal Field Theory; Higher Spin Gravity 
Department/Centre:  Division of Physical & Mathematical Sciences > Centre for High Energy Physics 
Date Deposited:  15 Nov 2019 05:49 
Last Modified:  15 Nov 2019 05:49 
URI:  http://eprints.iisc.ac.in/id/eprint/63898 
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