On the saturation of late-time growth of complexity in supersymmetric JT gravity
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 𝒩 = 1 and 𝒩 = 2 supersymmetries. For the 𝒩 = 1 theory, we compute the late time behaviour of complexity defined by the "quenched geodesic length" and obtain the expected saturation of complexity at time t ~eS0, to a constant value with time-independent variance. For the 𝒩 = 2 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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- January 2023
- DOI:
- 10.1007/JHEP01(2023)134
- arXiv:
- arXiv:2209.02441
- Bibcode:
- 2023JHEP...01..134A
- Keywords:
-
- 2D Gravity;
- AdS-CFT Correspondence;
- Matrix Models;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Quantum Physics
- E-Print:
- 30 pages, 2 figures