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I present the ``Chern--Simons'' formulation of generalized 2d dilaton gravity, summarize its Hamiltonian quantization (reduced phase space and Dirac quantization) and briefly discuss the statistical mechanical entropy of 2d black holes.…

High Energy Physics - Theory · Physics 2009-10-30 T. Strobl

A correspondence between three-dimensional flat connections and constant curvature four-dimensional simplices is used to give a novel quantization of geometry via complex SL(2,C) Chern-Simons theory. The resulting quantum geometrical states…

High Energy Physics - Theory · Physics 2021-08-18 Hal M. Haggard , Muxin Han , Wojciech Kaminski , Aldo Riello

When a small, uncharged, compact object is immersed in an external background spacetime, at zeroth order in its mass it moves as a test particle in the background. At linear order, its own gravitational field alters the geometry around it,…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Adam Pound

We consider inclusion of interactions between 3d Einstein gravity and the third order extensions of Chern-Simons. Once the gravity is minimally included into the third order vector field equations, the theory is shown to admit a…

High Energy Physics - Theory · Physics 2018-09-26 D. S. Kaparulin , I. Yu. Karataeva , S. L. Lyakhovich

In the context of a Poincar\'e gauge theoretical formulation, pure gravity in 3+1-dimensions is dimensionally reduced to gravity in 2+1-dimensions with or without cosmological constant $\Lambda$. The dimensional reductions are consistent…

General Relativity and Quantum Cosmology · Physics 2009-10-22 G. Grignani , G. Nardelli

Starting with three dimensional Chern--Simons theory with gauge group $Sl(N,R)$, we derive an action $S_{cov}$ invariant under both left and right $W_N$ transformations. We give an interpretation of $S_{cov}$ in terms of anomalies, and…

High Energy Physics - Theory · Physics 2009-10-22 Jan de Boer , Jacob Goeree

We consider the diffeomorphism invariant gravity coupled with the ideal fluid in the non-standard way. The Lorentz-invariance of the graviton propagator in such a theory considered as perturbation over flat background turns out to be broken…

High Energy Physics - Theory · Physics 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Giandomenico Palumbo

We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition…

High Energy Physics - Theory · Physics 2011-11-23 Alejandra Castro , Nima Lashkari , Alexander Maloney

We study self-duality in the context of the 3+1-split formalism of gravity with non-zero cosmological constant. Lorentzian self-dual configurations are conformally flat spacetimes and have boundary data determined by classical solutions of…

High Energy Physics - Theory · Physics 2009-02-09 Diego S. Mansi , Anastasios C. Petkou , Giovanni Tagliabue

The one-dimensional ${\cal N}\times {\cal N}$-matrix Chern-Simons action is given, for large ${\cal N}$ and for slowly varying fields, by the $(2k+1)$-dimensional Chern-Simons action $S_{CS}$, where the gauge fields in $S_{CS}$ parametrize…

High Energy Physics - Theory · Physics 2008-11-26 V. P. Nair

We consider the sum of the Einstein-Hilbert action and a Pontryagin density (PD) in arbitrary even dimension $D$. All curvatures are functions of independent affine (torsionless) connections only. In arbitrary dimension, not only in $D=4n$,…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Ulf Lindström , Özgür Sarıoğlu

We construct a two-dimensional dual field theory induced at the boundary of three-dimensional Chern-Simons gravity invariant under the Maxwell algebra. The resulting action takes the form of a Maxwellian extension of the flat Liouville…

High Energy Physics - Theory · Physics 2025-06-10 Felix Höfenstock , Patricio Salgado-Rebolledo

We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum…

High Energy Physics - Theory · Physics 2009-10-31 J. Ambjorn , R. Loll

We show that conformal Chern-Simons gravity in three dimensions has various holographic descriptions. They depend on the boundary conditions on the conformal equivalence class and the Weyl factor, even when the former is restricted to…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , B. Cvetkovic , S. Ertl , D. Grumiller , N. Johansson

The Chern-Simons (CS) form evolved from an obstruction in mathematics into an important object in theoretical physics. In fact, the presence of CS terms in physics is more common than one may think: they seem to play an important role in…

High Energy Physics - Theory · Physics 2015-06-11 Jorge Zanelli

Modified theories of electrodynamics that include violations of Lorentz symmetry often allow for the possibility of vacuum Cerenkov radiation. This phenomenon has previously been studied in a number of Lorentz-violating theories, but none…

High Energy Physics - Theory · Physics 2015-06-19 Brett Altschul

We describe a refined version of a previous proposal for the exploration of quantum gravity phenomenology. Unlike the original scheme, the one presented here is free from sign ambiguities while it shares with the previous one the essential…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Yuri Bonder , Daniel Sudarsky

Basis Light-front Quantization has been proposed as a nonperturbative framework for solving quantum field theory. We apply this approach to Quantum Electrodynamics and explicitly solve for the light-front wave function of a physical…

Nuclear Theory · Physics 2014-08-26 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

One approach to analyzing entanglement in a gauge theory is embedding it into a factorized theory with edge modes on the entangling boundary. For topological quantum field theories (TQFT), this naturally leads to factorizing a TQFT by…

High Energy Physics - Theory · Physics 2026-04-10 Thomas G. Mertens , Qi-Feng Wu
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