Abstract
We derive an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge. The theory is a specific and calculable instance of a more general framework recently proposed in [1]. We discuss the gauge symmetries of the model and how they relate to the Lyapunov behaviour of certain correlators. We calculate the out-of-time-ordered correlators diagnosing quantum chaos, as well as certain more fine-grained higher-point generalizations, using our Lorentzian effective field theory. We comment on potential future applications of the effective theory to real-time thermal physics and conformal field theory.
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Haehl, F.M., Rozali, M. Effective field theory for chaotic CFTs. J. High Energ. Phys. 2018, 118 (2018). https://doi.org/10.1007/JHEP10(2018)118
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DOI: https://doi.org/10.1007/JHEP10(2018)118