Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$

Abstract

In this note we continue analysing the non-equilibrium dynamics in the $(T^2{)}^n/{\mathbb{Z}}_n$ orbifold conformal field theory. We compute the out-of-time-ordered four-point correlators with twist operators. For rational $\eta (=p/q)$ which is the square of the compactification radius, we find that the correlators approach non-trivial constants at late time. For $n=2$ they are expressed in terms of the modular matrices and for higher $n$ orbifolds are functions of $pq$ and $n$. For irrational $\eta$, we find a new polynomial decay of the correlators that is a signature of an intermediate regime between rational and chaotic models.

20 pages, 3 figures

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• Dynamics of Entanglement Wedge Cross Section from Conformal Field Theories
• Conformal field theory and the web of quantum chaos diagnostics
• Signature of quantum chaos in operator entanglement in 2d CFTs
• Chaos and entanglement spreading in a non-commutative gauge theory
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• Permutation Orbifolds and Chaos
• New Properties of Large-$c$ Conformal Blocks from Recursion Relation
• Holographic Probes of Inner Horizons
• Schwarzian correction to quantum correlation in SYK model
• Floquet engineered inhomogeneous quantum chaos in critical systems
• 3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator