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The 1-loop partition function of the handle-body solutions in the AdS$_3$ gravity have been derived some years ago using the heat-kernel and the method of images. In the semiclassical limit, such partition function should correspond to the…

High Energy Physics - Theory · Physics 2016-01-27 Bin Chen , Jie-qiang Wu

We study the semiclassical partition function in the frame work of the Morse theory, to clarify the phase factor of the partition function and to relate it to the eta invariant of Atiyah. Converting physical system with potential into a…

High Energy Physics - Theory · Physics 2007-05-23 Soon-Tae Hong

The interplay between black hole interior dynamics and quantum chaos provides a crucial framework for probing quantum effects in quantum gravity. In this work, we investigate non-perturbative overlaps in Jackiw-Teitelboim (JT) gravity to…

High Energy Physics - Theory · Physics 2025-08-01 Masamichi Miyaji , Shan-Ming Ruan , Shono Shibuya , Kazuyoshi Yano

The Jackiw-Teitelboim (JT) model arises from the dimensional reduction of charged black holes. Motivated by the holographic complexity conjecture, we calculate the late-time rate of change of action of a Wheeler-DeWitt patch in the JT…

High Energy Physics - Theory · Physics 2019-03-06 Adam R. Brown , Hrant Gharibyan , Henry W. Lin , Leonard Susskind , Larus Thorlacius , Ying Zhao

We consider gravitational perturbations of 2D dilaton gravity systems and show that these can be recast into $T\bar{T}$-deformations (at least) under certain conditions, where $T$ means the energy-momentum tensor of the matter field coupled…

High Energy Physics - Theory · Physics 2019-07-04 Takaaki Ishii , Suguru Okumura , Jun-ichi Sakamoto , Kentaroh Yoshida

In this work, we investigate the partition function of 2d CFT under root-$T\bar{T}$ deformation. We demonstrate that the deformed partition function satisfies a flow equation. At large central charge sector, the deformed partition function…

High Energy Physics - Theory · Physics 2025-12-03 Miao He

It was proven recently that JT gravity can be defined as an ensemble of L x L Hermitian matrices. We point out that the eigenvalues of the matrix correspond in JT gravity to FZZT-type boundaries on which spacetimes can end. We then…

High Energy Physics - Theory · Physics 2021-04-13 Andreas Blommaert , Thomas G. Mertens , Henri Verschelde

The one-loop partition function of the $f(R,R_{\mu\nu}R^{\mu\nu})$ gravity theory is obtained around AdS$_4$ background. After suitable choice of the gauge condition and computation of the ghost determinant, we obtain the one-loop partition…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Shahab Shahidi , Farid Charmchi , Zahra Haghani , Leila Shahkarami

Quantum black holes are described by a large number of macroscopically indistinguishable microstates. Correlation functions of fields outside the horizon at long time separation probe this indistinguishability. The simplest of these, the…

High Energy Physics - Theory · Physics 2019-10-24 Phil Saad

The high temperature limit of the 3-graviton vertex function is studied in thermal quantum gravity, to one loop order. The leading ($T^4$) contributions arising from internal gravitons are calculated and shown to be twice the ones…

High Energy Physics - Phenomenology · Physics 2009-10-22 F. T. Brandt , J. Frenkel

Thermodynamic properties can be in principle derived from the partition function, which, in many-atom systems, is hard to evaluate as it involves a sum on the accessible microscopic states. Recently, the partition function has been computed…

An open question in AdS/CFT is how to reconstruct semiclassical bulk operators precisely enough that non-perturbative quantum effects can be computed. We propose a set of physically-motivated requirements for such a reconstruction map, and…

High Energy Physics - Theory · Physics 2025-12-23 Chris Akers , Andrew Lucas , Amit Vikram

We study the gravitational edge mode of the Jackiw-Teitelboim (JT) gravity and its $sl(2,\mathbb{R})$ BF theory description with the asymptotic AdS$_2$ boundary condition. We revisit the derivation of the Schwarzian theory from the wiggling…

High Energy Physics - Theory · Physics 2024-03-11 Euihun Joung , Prithvi Narayan , Junggi Yoon

We study tree approximations to classical two-body partition functions on sparse and loopy graphs via the Brydges-Kennedy-Abdessalam-Rivasseau forest expansion. We show that for sparse graphs (with large cycles), the partition function…

Combinatorics · Mathematics 2024-02-08 Francesco Caravelli

We generalize the recently discovered relationship between JT gravity and double-scaled random matrix theory to the case that the boundary theory may have time-reversal symmetry and may have fermions with or without supersymmetry. The…

High Energy Physics - Theory · Physics 2020-04-28 Douglas Stanford , Edward Witten

The formulation of two-dimensional quantum gravity at finite cutoff remains an open problem. We revisit this question in JT gravity from two perspectives: the closed-channel bulk path integral and the path integral over boundary curves.…

High Energy Physics - Theory · Physics 2026-03-20 Luca Griguolo , Jacopo Papalini , Lorenzo Russo , Domenico Seminara

The duality of Jackiw-Teitelboim (JT) gravity and a double scaled matrix integral has led to studies of the canonical spectral form factor (SFF) in the so called $\tau-$scaled limit of large times, $t \to \infty$, and fixed temperature in…

High Energy Physics - Theory · Physics 2025-02-27 Torsten Weber , Jarod Tall , Fabian Haneder , Juan Diego Urbina , Klaus Richter

In Jackiw-Teitelboim (JT) gravity, which is dual to a random matrix ensemble, the annealed entropy differs from the quenched entropy at low temperatures and goes negative. However, computing the quenched entropy in JT gravity requires a…

High Energy Physics - Theory · Physics 2025-11-18 Stefano Antonini , Luca V. Iliesiu , Pratik Rath , Patrick Tran

We argue that a discrete bulk spectrum with random statistics appears naturally in the Lorentzian description of Jackiw-Teitelboim (JT) gravity if an extra confining potential is introduced in the region where the renormalized geodesic…

High Energy Physics - Theory · Physics 2025-10-21 Dongsu Bak , Chanju Kim , Sang-Heon Yi

We study the boundary effective action of the colored version of the Jackiw-Teitelboim (JT) gravity. We derive the boundary action, which is the color generalization of the Schwarzian action, from the $su(N,N)$ BF formulation of the colored…

High Energy Physics - Theory · Physics 2022-10-19 K. B. Alkalaev , Euihun Joung , Junggi Yoon