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How is a ''bulk clock'' encoded holographically? We address this in Jackiw-Teitelboim (JT) gravity, where a natural physical clock emerges by promoting the vacuum energy to a dynamical variable: the vacuum cosmological constant becomes a…

High Energy Physics - Theory · Physics 2026-01-14 Altay Etkin , Farbod-Sayyed Rassouli

We determine explicit expressions for the continuous two-sided gravitational wavefunctions in supersymmetric versions of JT gravity, focusing mainly on $\mathcal{N}=2$ JT supergravity. Our approach is based on representation theory of the…

High Energy Physics - Theory · Physics 2024-11-06 Andreas Belaey , Francesca Mariani , Thomas G. Mertens

In this paper, we prove that the generalized Br\'ezin-Gross-Witten tau-function is a hypergeometric solution of the BKP hierarchy with simple weight generating function. We claim that it describes a spin version of the strictly monotone…

Mathematical Physics · Physics 2022-12-13 Alexander Alexandrov

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

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 Jackiw-Teitelboim (JT) gravity path integral of the trumpet can be interpreted as a transition amplitude from an older black hole to a younger one, accompanied by the emission of a baby universe, represented by the geodesic boundary of…

High Energy Physics - Theory · Physics 2025-03-04 Hamed Zolfi , Mohsen Alishahiha

In their recent inspiring paper Mironov and Morozov claim a surprisingly simple expansion formula for the Kontsevich-Witten tau-function in terms of the Schur Q-functions. Here we provide a similar conjecture for the Br\'ezin-Gross-Witten…

Mathematical Physics · Physics 2021-01-18 Alexander Alexandrov

We prove the formula for the complete tree-level $S$-matrix of $\mathcal{N}=8$ supergravity recently conjectured by two of the authors. The proof proceeds by showing that the new formula satisfies the same BCFW recursion relations that…

High Energy Physics - Theory · Physics 2014-05-02 Freddy Cachazo , Lionel Mason , David Skinner

We advocate a new approach to the study of unitary matrix models in external fields which emphasizes their relationship to Generalized Kontsevich Models (GKM) with non-polynomial potentials. For example, we show that the partition function…

High Energy Physics - Theory · Physics 2009-10-28 A. Mironov , A. Morozov , G. Semenoff

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

We introduce a new 1-matrix model with arbitrary potential and the matrix-valued background field. Its partition function is a $\tau$-function of KP-hierarchy, subjected to a kind of ${\cal L}_{-1}$-constraint. Moreover, partition function…

High Energy Physics - Theory · Physics 2011-05-05 S. Kharchev , A. Marshakov , A. Mironov , A. Morozov , A. Zabrodin

We analyse the Jackiw-Teitelboim model of 2D gravity coupled to $N$ massless free scalar fields in the semi-classical limit. Two systems are studied which essentially differ in the boundary conditions that are imposed. We find that the…

High Energy Physics - Theory · Physics 2020-05-20 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi , V. Vishal

We propose the three-dimensional bulk dual for Jackiw-Teitelboim gravity coupled with CFT$_2$ bath based on partial reduction. The bulk dual is classical AdS gravity with a defect brane which has small fluctuation in transverse direction.…

High Energy Physics - Theory · Physics 2023-02-28 Feiyu Deng , Yu-Sen An , Yang Zhou

We show that the free energy at low temperatures for near-extremal black holes is correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to all black holes, including rotating ones, whose metric has a…

High Energy Physics - Theory · Physics 2019-11-15 Upamanyu Moitra , Sunil Kumar Sake , Sandip P. Trivedi , V. Vishal

We show that the asymptotic dynamics of two-dimensional de Sitter or anti-de Sitter Jackiw-Teitelboim (JT) gravity is described by a generalized two-particle Calogero-Sutherland model. This correspondence is established by formulating the…

High Energy Physics - Theory · Physics 2009-11-07 Mauro Brigante , Sergio Cacciatori , Dietmar Klemm , Daniela Zanon

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 define a tau function for a generic Riemann-Hilbert problem posed on a union of non-intersecting smooth closed curves with jump matrices analytic in their neighborhood. The tau function depends on parameters of the jumps and is expressed…

Mathematical Physics · Physics 2019-02-20 M. Cafasso , P. Gavrylenko , O. Lisovyy

We argue that two-dimensional dilaton gravity models can all be derived from an analog of Jacobson's covariant version of the first law of thermodynamics. We then specialize to the JT gravity model and couple it to massless fermions. This…

High Energy Physics - Theory · Physics 2022-05-17 Tom Banks , Patrick Draper , Bingnan Zhang

In this work we find the isomonodromic (Jimbo-Miwa) tau-function corresponding to Frobenius manifold structures on Hurwitz spaces. We discuss several applications of this result. First, we get an explicit expression for the G-function…

Mathematical Physics · Physics 2007-05-23 A. Kokotov , D. Korotkin

We study closed universes in simple models of two dimensional gravity, such as Jackiw-Teiteilboim (JT) gravity coupled to matter, and a toy topological model that captures the key features of the former. We find there is a stark contrast,…

High Energy Physics - Theory · Physics 2024-08-16 Mykhaylo Usatyuk , Zi-Yue Wang , Ying Zhao
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