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.
Highlights
For large N theories, one can distinguish two parametrically distinct time-scales
We study out-of-time-ordered correlation functions in permutation orbifolds at large central charge
We will show that the OTO four-point function in permutation orbifolds takes the general form
Summary
Where λL is called the Lyapunov exponent. The first term in the r.h.s. of (1.5) corresponds to the disconnected part of the four-point function, whereas the second term is the connected contribution. The other reason why one could have suspected the outcome to be different is that permutation orbifolds have been capable of reproducing many universal features of Einstein gravity in the semi-classical limit This is often tied to the dominance of the identity block in CFT correlation functions. Other observables involving latetime dynamics such as two point functions in excited states show qualitative similarities to a theory dual to Einstein gravity [31] (even though there are quantitative differences in terms of time-scales). In some sense, these theories are doing a way better job at mimicking general relativity than what they should be doing. We do not perform this calculation but make some general comments on the deformation to strong coupling
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
