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.
30 pages, 2 figures
References in corpus (14)
- Complexity and Shock Wave Geometries
- An Investigation of AdS Backreaction and Holography
- Random Statistics of OPE Coefficients and Euclidean Wormholes
- AdS gravity and random CFT
- Quantum Complexity and Negative Curvature
- Linear growth of quantum circuit complexity
- Free Energy from Replica Wormholes
- Late time physics of holographic quantum chaos
- Complexity Growth in Integrable and Chaotic Models
- FZZT branes in JT gravity and topological gravity
- Structure constants of the OSP(1|2) WZNW model
- On Free Energy for Deformed JT Gravity
- Supergroup Structure of Jackiw-Teitelboim Supergravity
- Complexity via Replica Trick