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Chaos in the Fishnet

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arxiv 1902.06409 v3 pith:FUBMR3CP submitted 2019-02-18 hep-th

classification hep-th
keywords fishnettheorieschaosconsidercouplingexponentgrowthhoneycomb
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We consider the computation of out-of-time-ordered correlators (OTOCs) in the fishnet theories, with a mass term added. These fields theories are not unitary. We compute the growth exponent, in the planar limit, at any value of the coupling and show that the model exhibits chaos. At strong coupling the growth exponent violates the Maldacena-Shenker-Stanford bound. We also consider the mass deformed versions of the six dimensional honeycomb theories, which can also be solved in the planar limit. The honeycomb theory shows a very similar behavior to that exhibited by the fishnet theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spontaneous Conformal Symmetry Breaking in Fishnet CFT

    hep-th 2019-08 conditional novelty 7.0 of 10

    The non-unitary fishnet CFT admits classical and quantum-protected flat vacua that spontaneously break conformal symmetry with exactly zero vacuum energy.

  2. Chaos in the butterfly cone

    hep-th 2019-08 conditional novelty 7.0 of 10

    The velocity-dependent Lyapunov exponent inside the butterfly cone satisfies λ(v) ≤ 2πT(1-|v|/v_B), a generalization of the chaos bound, saturated in SYK chains, holographic theories, and large N CFTs.

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