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In the presence of a Killing symmetry, various self-gravitating field theories with massless scalars (moduli) and vector fields reduce to sigma-models, effectively coupled to 3-dimensional gravity. We argue that this particular structure of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Markus Heusler

As shown recently 2d quantum gravity theories -- including spherically reduced Einstein-gravity -- after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical…

High Energy Physics - Theory · Physics 2009-11-07 D. Grumiller

We discuss a basis for the nonperturbative Hilbert space of quantum gravity with one asymptotic boundary. We use this basis to show that the Hilbert space for gravity with two disconnected boundaries factorizes into a product of two copies…

High Energy Physics - Theory · Physics 2026-03-31 Vijay Balasubramanian , Tom Yildirim

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among…

High Energy Physics - Theory · Physics 2024-03-20 Marc Geiller , Céline Zwikel

We recently described a cosmological quantum spacetime of vanishing spatial curvature, which can be considered as background for the IKKT matrix model, assuming that the resulting gauge theory couples weakly. Building on this example, we…

High Energy Physics - Theory · Physics 2026-01-27 Christian Gaß , Harold C. Steinacker

A topological version of four-dimensional (Euclidean) Einstein gravity which we propose regards anti-self-dual 2-forms and an anti-self-dual part of the frame connections as fundamental fields. The theory describes the moduli spaces of…

High Energy Physics - Theory · Physics 2011-09-09 Mitsuko Abe , A. Nakamichi , T. Ueno

Within the first order formalism static solutions of generic dilaton gravity in 2D with self-interacting (scalar) matter can be discussed with ease. The question of (non)existence of Killing horizons is addressed and the interplay with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Grumiller , D. Mayerhofer

We study the analytic structure of the S-matrix which is obtained from the reduced Wheeler-DeWitt wave function describing spherically symmetric gravitational collapse of massless scalar fields. The complex simple poles in the S-matrix lead…

General Relativity and Quantum Cosmology · Physics 2010-03-02 Donsu Bak , Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We study the Hawking radiation in two dimensional dilaton black hole by means of quantum gravity holding near the apparent horizon. First of all, we construct the canonical formalism of the dilaton gravity in two dimensions. Then the Vaidya…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ichiro Oda

We present a revisitation of the Almheiri-Polchinski dilaton gravity model from a two-dimensional (2D) bulk perspective. We describe a peculiar feature of the model, namely the pattern of conformal symmetry breaking using bulk Killing…

High Energy Physics - Theory · Physics 2018-06-06 Mariano Cadoni , Matteo Ciulu , Matteo Tuveri

Based on our previous work, in which a model of two dimensional dilaton gravity of the type proposed by Callan, Giddings, Harvey and Strominger was rigorously quantized, we explicitly demonstrate how one can extract space-time geometry in…

High Energy Physics - Theory · Physics 2009-12-30 Y. Kazama , Y. Satoh

We present an interacting spin-2 gauge theory coupled to the two-dimensional dilaton-gravity in flat spacetime. The asymptotic symmetry group is enhanced to the central extension of Diff$(S^1)\ltimes C^\infty(S^1)\ltimes$Vec($S^1$) when the…

High Energy Physics - Theory · Physics 2021-08-04 Hamid Afshar , Erfan Esmaeili , Hamid Safari

A phenomenological Hamiltonian of a closed (i.e., unitary) quantum system is assumed to have an $N$ by $N$ real-matrix form composed of a unperturbed diagonal-matrix part $H^{(N)}_0$ and of a tridiagonal-matrix perturbation…

Mathematical Physics · Physics 2021-06-01 Miloslav Znojil

We study flat space cosmologies in two dimensions by taking the flat space limit of the Achucarro-Ortiz model. We unravel a phase transition between hot flat space and flat space cosmologies, and derive a new dilaton-dependent counterterm…

High Energy Physics - Theory · Physics 2014-10-23 Arjun Bagchi , Daniel Grumiller , Jakob Salzer , Sourav Sarkar , Friedrich Schöller

We consider the quantization of the midi-superspace associated with a class of spacetimes with toroidal isometries, but without the compact spatial hypersurfaces of the well-known Gowdy models. By a symmetry reduction, the phase space for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christopher Beetle

We study spherically symmetric, asymptotically flat black hole solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton, in various dimensions. We derive the field…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

In this paper we calculate the Bondi mass of asymptotically flat spacetimes with interacting electromagnetic and scalar fields. The system of coupled Einstein-Maxwel-Klein-Gordon equations is investigated and corresponding field equations…

General Relativity and Quantum Cosmology · Physics 2014-01-24 Martin Scholtz , Lukáš Holka

In these lectures we report recent work on the exact quantization of dimensionally reduced gravity, i.e. 2d non-linear (G/H)-coset space sigma-models coupled to gravity and a dilaton. Using methods developed in the context of flat space…

High Energy Physics - Theory · Physics 2007-05-23 H. Nicolai , D. Korotkin , H. Samtleben

A one-parameter class of simple models of two-dimensional dilaton gravity, which can be exactly solved including back-reaction effects, is investigated at both classical and quantum levels. This family contains the RST model as a special…

High Energy Physics - Theory · Physics 2011-09-09 A. Fabbri , J. G. Russo

In a previous paper with Gibbons [CMP 120 (1987) 295] we derived a list of three dimensional symmetric space $\sigma$-model obtained by dimensional reduction of a class of four dimensional gravity theories with abelian gauge fields and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Breitenlohner , Dieter Maison