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The effective action for 2d-gravity with manifest area-preserving invariance is obtained in the flat and in the general gravitational background. The cocyclic properties of the last action are proved, and generalizations on higher…

High Energy Physics - Theory · Physics 2009-10-28 D. R. Karakhanyan , R. P. Manvelyan , R. L. Mkrtchyan

To complement recent work on tests of spacetime symmetry in gravity, cubic curvature couplings are studied using an effective field theory description of spacetime-symmetry breaking. The associated mass dimension 8 coefficients for Lorentz…

General Relativity and Quantum Cosmology · Physics 2016-09-28 Quentin G. Bailey

We show that higher spin systems specific to cosmological spaces are subject to the same problems as models with Poincar'e limits. In particular, we analyse partially massless (PM) spin 2 and find that both its gravitational coupling and…

High Energy Physics - Theory · Physics 2013-01-30 S. Deser , E. Joung , A. Waldron

A possibility of strong coupling quantum Liouville gravity is investigated via infinite dimensional representations of $\qslc$ with $q$ at a root of unity. It is explicitly shown that vertex operator in this model can be written by a tensor…

High Energy Physics - Theory · Physics 2009-10-28 Takashi Suzuki

2D $R^2$ quantum gravity in infinitely large invariant volume is considered. In weak coupling limit the dynamics is reduced to quantum mechanics of a single degree of freedom. The correspondent two - point Green function is calculated…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. A. Zubkov

Motivated by recent works on the connection between 2D quantum gravity and timelike Liouville theory, we revisit the latter and clarify some aspects of the computation of its partition function: We present a detailed computation of the…

High Energy Physics - Theory · Physics 2022-09-28 Gaston Giribet , Matias Leoni

We evaluate the three point function for arbitrary states in bosonic minimal models on the sphere coupled to quantum gravity in two dimensions. The validity of the formal continuation in the number of Liouville screening charge insertions…

High Energy Physics - Theory · Physics 2009-10-22 Kenichiro Aoki , Eric D'Hoker

The distinct models that describe spin 1 and 2 massive excitations in 2+1 dimensions are analized, showing their equivalence (between models of same spin) and analogies (between models of different spin). Topics as spontaneous symmetry…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pio J. Arias

Quantum field theories provide fundamental models of complex interacting systems, from high-energy physics and cosmology to condensed matter. However, solving these models in non-perturbative and dynamical regimes is often extremely…

The two-dimensional Ising model with fixed magnetization is studied using Monte Carlo techniques. At the coexistence line, the macroscopic, extensive droplet of minority spins becomes thermally unstable by breaking up into microscopic…

Statistical Mechanics · Physics 2009-10-31 M. Pleimling , W. Selke

I review the formalism of loop quantum gravity, in both its real and complex formulations, and spin foam theory which is its path integral counterpart. Spin networks for non-compact groups are introduced (following hep-th/0205268) to deal…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Etera R. Livine

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

In this paper, we present a simple chiral 2d theory living on a momentum space celestial sphere whose behaviour exactly produces various IR dynamics of recent resurged interests for 4d (selfdual) Einstein gravity in asymptotically flat…

High Energy Physics - Theory · Physics 2024-12-31 Wei Bu , Sean Seet

An example of a higher spin gravity in four-dimensional flat space has recently been constructed in arXiv:1609.04655 [hep-th]. This theory is chiral and the action is written in the light-cone gauge. The theory has certain stringy features,…

High Energy Physics - Theory · Physics 2018-07-25 Evgeny D. Skvortsov , Tung Tran , Mirian Tsulaia

We couple c=-2 matter to 2-dimensional gravity within the framework of dynamical triangulations. We use a very fast algorithm, special to the c=-2 case, in order to test scaling of correlation functions defined in terms of geodesic distance…

High Energy Physics - Lattice · Physics 2009-10-30 J. Ambjorn , K. N. Anagnostopoulos , T. Ichihara , L. Jensen , N. Kawamoto , Y. Watabiki , K. Yotsuji

We obtain a dynamical formulation of two-dimensional gravity from a non-Einsteinian phase in higher dimensions $(D=3+2n)$. The formalism is associated with (at least) one extra dimension of vanishing proper length, thus being inequivalent…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Suvikranth Gera , Sandipan Sengupta

Two-dimensional non-abelian quantum field models provide a useful laboratory for analytic and numerical investigations of quantum theories with gauge symmetry. They can exhibit various features, such as charge confinement, which are known…

High Energy Physics - Lattice · Physics 2015-03-19 Piotr Korcyl , Mateusz Koren

We deform two-dimensional topological gravity by making use of its gauge theory formulation. The obtained noncommutative gravity model is shown to be invariant under a class of transformations that reduce to standard diffeomorphisms once…

High Energy Physics - Theory · Physics 2009-11-07 S. Cacciatori , A. H. Chamseddine , D. Klemm , L. Martucci , W. A. Sabra , D. Zanon

The model of p Ising spins coupled to 2d gravity, in the form of a sum over planar phi-cubed graphs, is studied and in particular the two-point and spin-spin correlation functions are considered. We first solve a toy model in which only a…

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

This is the first part of an investigation concerning the formulation of 2D gravity in the framework of the uniformization theory of Riemann surfaces. As a first step in this direction we show that the classical Liouville action appears in…

High Energy Physics - Theory · Physics 2009-10-22 M. Matone