On the saturation of late-time growth of complexity in supersymmetric JT gravity
arXiv:2209.02441 · doi:10.1007/JHEP01(2023)134
Abstract
In this work we use the modified replica trick, proposed in arXiv:2205.01150, to compute the late time behaviour of complexity for JT gravity with and supersymmetries. For the theory, we compute the late time behaviour of complexity defined by the ``quenched geodesic length" and obtain the expected saturation of complexity at time , to a constant value with time-independent variance. For the theory, we explicitly compute complexity at the disk level which yields the late-time linear growth of complexity. However, we comment on the expectation of the late-time saturation by speculating the trumpet partition function and the non-perturbative corrections to the spectral correlation, relevant for the late-time behaviour of complexity. Furthermore, we compute the matter correlation functions for both the theories.
arXiv comment30 pages, 2 figures
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