“School of Physics”

Back to Papers Home
Back to Papers of School of Physics

Paper   IPM / P / 17174
School of Physics
  Title:   On the saturation of late-time growth of complexity in supersymmetric JT gravity
1.  M. Alishahiha
2.  S. Banerjee
  Status:   Published
  Journal: JHEP
  Vol.:  2023
  Year:  2023
  Pages:   134
  Supported by:  IPM
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 ð�?© = 1 and ð�?© = 2 supersymmetries. For the ð�?© = 1 theory, we compute the late time behaviour of complexity defined by the â??quenched geodesic lengthâ?� and obtain the expected saturation of complexity at time tâ?¼eS0, to a constant value with time-independent variance. For the ð�?© = 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.

Download TeX format
back to top
scroll left or right