On the perturbative expansion of exact bi-local correlators in JT gravity

@article{Griguolo2021OnTP,
  title={On the perturbative expansion of exact bi-local correlators in JT gravity},
  author={Luca Griguolo and Jacopo Papalini and Domenico Seminara},
  journal={Journal of High Energy Physics},
  year={2021},
  volume={2021}
}
We study the perturbative series associated to bi-local correlators in Jackiw-Teitelboim (JT) gravity, for positive weight $\lambda$ of the matter CFT operators. Starting from the known exact expression, derived by CFT and gauge theoretical methods, we reproduce the Schwarzian semiclassical expansion beyond leading order. The computation is done for arbitrary temperature and finite boundary distances, in the case of disk and trumpet topologies. A formula presenting the perturbative result (for… 
2 Citations

Path integrals in JT gravity and Virasoro constraints

  • Y. Kimura
  • Mathematics
    International Journal of Modern Physics A
  • 2022
We examine the large- g asymptotic Weil–Petersson volume formulas deduced in the pre-vious literature. The volume formulas have application to computing the partition functions and the correlation

Correlation functions with multiple boundaries in JT gravity and resolvents

We compute the higher-genus contributions to the correlation functions in Jackiw–Teitelboim gravity, by utilizing the large-g asymptotics of the Weil–Petersson volumes as functions of genus g and the

References

SHOWING 1-10 OF 38 REFERENCES

Degenerate operators in JT and Liouville (super)gravity

We derive explicit expressions for a specific subclass of Jackiw-Teitelboim (JT) gravity bilocal correlators, corresponding to degenerate Virasoro representations. On the disk, these degenerate

Liouville quantum gravity — holography, JT and matrices

We study two-dimensional Liouville gravity and minimal string theory on spaces with fixed length boundaries. We find explicit formulas describing the gravitational dressing of bulk and boundary

Resumming the string perturbation series

A bstractWe use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory. Although the series is Borel summable,

Solving the Schwarzian via the conformal bootstrap

A bstractWe obtain exact expressions for a general class of correlation functions in the 1D quantum mechanical model described by the Schwarzian action, that arises as the low energy limit of the SYK

An exact quantization of Jackiw-Teitelboim gravity

Abstract We propose an exact quantization of two-dimensional Jackiw-Teitelboim (JT) gravity by formulating the JT gravity theory as a 2D gauge theory placed in the presence of a loop defect. The

JT gravity as a matrix integral

We present exact results for partition functions of Jackiw-Teitelboim (JT) gravity on two-dimensional surfaces of arbitrary genus with an arbitrary number of boundaries. The boundaries are of the

Dissecting the ensemble in JT gravity

Abstract We calculate bulk and boundary correlators in JT gravity by summing over geometries. The answers are reproduced by computing suitable ensemble averages of correlators of chaotic quantum

Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The

Free partition functions and an averaged holographic duality

We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and

Defects in Jackiw-Teitelboim quantum gravity

Abstract We classify and study defects in 2d Jackiw-Teitelboim gravity. We show these are holographically described by a deformation of the Schwarzian theory where the reparametrization mode is