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Related papers: JT gravity as a matrix integral

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We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right…

High Energy Physics - Theory · Physics 2023-06-28 David K. Kolchmeyer

Local path integral quantization of generic 2D dilaton gravity is considered. Locality means that we assume asymptotic fall off conditions for all fields. We demonstrate that in the absence of `matter' fields to all orders of perturbation…

General Relativity and Quantum Cosmology · Physics 2009-10-28 W. Kummer , H. Liebl , D. V. Vassilevich

We study quantisation of noncommutative gravity theories in two dimensions (with noncommutativity defined by the Moyal star product). We show that in the case of noncommutative Jackiw-Teitelboim gravity the path integral over gravitational…

High Energy Physics - Theory · Physics 2009-11-10 D. V. Vassilevich

We generalize the mechanism proposed in [hep-th/0005016] and show that a four-dimensional relativistic tensor theory of gravitation can be obtained on a delta-function brane in flat infinite-volume extra space. In particular, we demonstrate…

High Energy Physics - Theory · Physics 2009-10-31 Gia Dvali , Gregory Gabadadze

We investigate the physical interpretation of the Riemann zeta function as a FZZT brane partition function associated with a matrix/gravity correspondence. The Hilbert-Polya operator in this interpretation is the master matrix of the large…

Mathematical Physics · Physics 2007-08-07 Michael McGuigan

Volume complexity in dS$_2$ remains $O(1)$ up to a critical time, after which it suddenly diverges. On the other hand, for the dS$_2$ solution in JT gravity there is a linear dilaton which smoothly grows towards the future infinity. From…

High Energy Physics - Theory · Physics 2023-07-26 Takanori Anegawa , Norihiro Iizuka , Sunil Kumar Sake , Nicolò Zenoni

A new classical theory of gravitation within the framework of general relativity is presented. It is based on a matrix formulation of four-dimensional Riemann-spaces and uses no artificial fields or adjustable parameters. The geometrical…

General Relativity and Quantum Cosmology · Physics 2011-03-24 Wolfgang Koehler

We establish Einstein-Hilbert gravity couplings in the effective action for Intersecting Brane Worlds. The four-dimensional induced Planck mass is determined by calculating graviton scattering amplitudes at one-loop in the string…

High Energy Physics - Theory · Physics 2008-11-26 Friedel Epple

Recent results on the annulus partition function in Liouville field theory are applied to non-critical string theory, both below and above the critical dimension. Liouville gravity coupled to $c\le 1$ matter has a dual formulation as a…

High Energy Physics - Theory · Physics 2007-05-23 Emil J. Martinec

The quenched free energy, $F_Q(T){=}{-}T\langle \ln Z(T)\rangle$, of various JT gravity and supergravity theories is explored, taking into account the key non-perturbative physics that is accessible using their matrix model formulations.…

High Energy Physics - Theory · Physics 2021-06-29 Clifford V. Johnson

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 correlators are structurally simple, and they…

High Energy Physics - Theory · Physics 2021-05-04 Thomas G. Mertens

The JLMS formula relates the bulk and boundary relative entropies and is fundamental to the holographic dictionary, providing justification for entanglement wedge reconstruction. We revisit the replica trick for relative entropy and find…

High Energy Physics - Theory · Physics 2022-09-07 Jonah Kudler-Flam , Pratik Rath

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 correlators in the disk. Their structure has a…

High Energy Physics - Theory · Physics 2023-03-15 Thomas G. Mertens , Gustavo J. Turiaci

We provide an end-to-end exploration of a distinct modified gravitational theory in Jordan-Brans-Dicke (JBD) gravity, from an analytical and numerical description of the background expansion and linear perturbations, to the nonlinear regime…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-17 Shahab Joudaki , Pedro G. Ferreira , Nelson A. Lima , Hans A. Winther

We sharpen the duality between open and closed topological string partition functions for topological gravity coupled to matter. The closed string partition function is a generalised Kontsevich matrix model in the large dimension limit. We…

High Energy Physics - Theory · Physics 2019-10-02 Sujay K. Ashok , Jan Troost

We study $\mathcal{N}=2$ supersymmetric Jackiw-Teitelboim (JT) gravity at finite temperature coupled to matter. The matter fields are related to superconformal primaries by AdS/CFT duality. Due to broken super reparametrisation invariance…

High Energy Physics - Theory · Physics 2022-11-09 Ruben Campos Delgado , Stefan Forste

We discuss how concepts such as geodesic length and the volume of space-time can appear in 2d topological gravity. We then construct a detailed mapping between the reduced Hermitian matrix model and 2d topological gravity at genus zero.…

High Energy Physics - Theory · Physics 2009-10-30 J. Ambjorn , M. G. Harris , M. Weis

We consider gauged linear sigma models (GLSM) on $\mathbb{RP}^2$, obtained from a parity projection of $S^2$. The theories admit squashing deformation, much like GLSM on $S^2$, which allows us to interpret the partition function as the…

High Energy Physics - Theory · Physics 2015-06-17 Heeyeon Kim , Sungjay Lee , Piljin Yi

We study the geometrical meaning of higher-order terms in matrix models of Yang-Mills type in the semi-classical limit, generalizing recent results arXiv:1003.4132 to the case of 4-dimensional space-time geometries with general Poisson…

High Energy Physics - Theory · Physics 2011-03-28 Daniel N. Blaschke , Harold Steinacker

We present a self-contained analysis of theories of discrete 2D gravity coupled to matter, using geometric methods to derive equations for generating functions in terms of free (noncommuting) variables. For the class of discrete gravity…

High Energy Physics - Theory · Physics 2008-11-26 Sean M. Carroll , Miguel E. Ortiz , Washington Taylor
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