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Quantum gravity of a brane-like Universe is formulated, and its Einstein limit is approached. Regge-Teitelboim embedding of Arnowitt-Deser-Misner formalism is carried out. Invoking a novel Lagrange multiplier, accompanying the lapse…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Aharon Davidson , David Karasik

We argue that the finiteness of quantum gravity amplitudes in fully compactified theories (at least in supersymmetric cases) leads to a bottom-up prediction for the existence of non-trivial dualities. In particular, finiteness requires the…

High Energy Physics - Theory · Physics 2025-08-20 Matilda Delgado , Damian van de Heisteeg , Sanjay Raman , Ethan Torres , Cumrun Vafa , Kai Xu

We describe an approach to the quantisation of (2+1)-dimensional gravity with topology R x T^2 and negative cosmological constant, which uses two quantum holonomy matrices satisfying a q-commutation relation. Solutions of diagonal and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. E. Nelson , R. F. Picken

A solution of the vortex type is given in a six-dimensional $SU(2)\times U(1)$ pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of…

High Energy Physics - Theory · Physics 2019-05-02 Atsushi Nakamula , Satoru Hirenzaki , Kiyoshi Shiraishi

We study the two-dimensional (2D) dilatonic model describing a massless scalar field minimally coupled to the spherically reduced Einstein-Hilbert gravity. The general solution of this model is given in the case when a Killing vector is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

The B-twisted topological sigma model coupled to topological gravity is supposed to be described by an ordinary field theory: a type of holomorphic Chern-Simons theory for the open string, and the Kodaira-Spencer theory for the closed…

High Energy Physics - Theory · Physics 2010-11-01 Neil Marcus , Shimon Yankielowicz

We introduce a new two-dimensional string theory defined by coupling two copies of Liouville CFT with complex central charge $c=13\pm i \lambda$ on the worldsheet. This string theory defines a novel, consistent and controllable model of…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

Motivated by group-theoretical questions that arise in the context of asymptotic symmetries in gravity, we study model spaces and their quantization from the viewpoint of constrained Hamiltonian systems. More precisely, we propose that a…

High Energy Physics - Theory · Physics 2025-08-27 Glenn Barnich , Thomas Smoes

We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Jorma Louko , Hans-Juergen Matschull

A novel continuum theory of two-dimensional quantum gravity, based on a version of Causal Dynamical Triangulations which incorporates topology change, has recently been formulated as a genuine string field theory in zero-dimensional target…

High Energy Physics - Theory · Physics 2008-11-26 J. Ambjorn , R. Loll , Y. Watabiki , W. Westra , S. Zohren

We consider a discrete model of euclidean quantum gravity in four dimensions based on a summation over random simplicial manifolds. The action used is the Einstein-Hilbert action plus an $R^2$-term. The phase diagram as a function of the…

High Energy Physics - Theory · Physics 2009-10-22 J. Ambjorn , J. Jurkiewicz , C. F. Kristjansen

The quantum gravity path integral involves a sum over topologies that invites comparisons to worldsheet string theory and to Feynman diagrams of quantum field theory. However, the latter are naturally associated with the non-abelian algebra…

High Energy Physics - Theory · Physics 2022-06-29 Eduardo Casali , Donald Marolf , Henry Maxfield , Mukund Rangamani

Time-dependent solutions of supergravity and string theory are studied. The examples are obtained from de Sitter deformation of gauge/gravity dualities, analytical continuation of static solutions, and ``exactly solvable'' worldsheet…

High Energy Physics - Theory · Physics 2009-11-07 Alex Buchel , Peter Langfelder , Johannes Walcher

We perform a non-perturbative sum over geometries in a (2+1)-dimensional quantum gravity model given in terms of Causal Dynamical Triangulations. Inspired by the concept of triangulations of product type introduced previously, we impose an…

High Energy Physics - Theory · Physics 2008-11-26 D. Benedetti , R. Loll , F. Zamponi

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and…

High Energy Physics - Theory · Physics 2009-09-15 D. Kutasov , E. Martinec , N. Seiberg

We present a family of classical spacetimes in 2+1 dimensions. Such a spacetime is produced by a Nambu-Goto self-gravitating string. Due to the special properties of three-dimensional gravity, the metric is completely described as a…

High Energy Physics - Theory · Physics 2009-10-22 Shahar Ben-Menahem

We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degrees of…

High Energy Physics - Theory · Physics 2024-11-22 Jordan Cotler , Kristan Jensen , Stefan Prohazka , Max Riegler , Jakob Salzer

Two of us (CM and VV) recently showed how the quantum character of a physical system, in particular the gravitational field, can in principle be witnessed without directly measuring observables of that system, solely by its ability to…

Quantum Physics · Physics 2018-08-29 C. Marletto , V. Vedral , D. Deutsch

Various studies have attempted to extend the Witten's cubic open string field theory to the cubic closed string field theory, which may describe Einstein gravity in the low energy sector consistently. In the present study we propose a cubic…

High Energy Physics - Theory · Physics 2022-01-25 Taejin Lee

The loop representation of quantum gravity has many formal resemblances to a background-free string theory. In fact, its origins lie in attempts to treat the string theory of hadrons as an approximation to QCD, in which the strings…

High Energy Physics - Theory · Physics 2007-05-23 John C. Baez
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