Permutation Orbifolds and Chaos

Abstract

We study out-of-time-ordered correlation functions in permutation orbifolds at large central charge. We show that they do not decay at late times for arbitrary choices of low-dimension operators, indicating that permutation orbifolds are non-chaotic theories. This is in agreement with the fact they are free discrete gauge theories and should be integrable rather than chaotic. We comment on the early-time behaviour of the correlators as well as the deformation to strong coupling.

15 pages, v2: more references and additional comments in the introduction

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Cited by in corpus (16)

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• Chaotic strings in AdS/CFT
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• Chaos and pole skipping in CFT${}_2$
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• Siegel Paramodular Forms and Sparseness in AdS${}_3$/CFT${}_2$
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• Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime
• Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$
• Spinning constraints on chaotic large $c$ CFTs