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We apply the non-commutative Fourier transform for Lie groups to formulate the non-commutative metric representation of the Ponzano-Regge spin foam model for 3d quantum gravity. The non-commutative representation allows to express the…

General Relativity and Quantum Cosmology · Physics 2014-06-27 Daniele Oriti , Matti Raasakka

We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge…

High Energy Physics - Theory · Physics 2010-12-09 Marc Henneaux , Soo-Jong Rey

In this paper, we study gravitational symmetry algebras that live on 2-dimensional cuts $S$ of asymptotic infinity. We define a notion of wedge algebra $\mathcal{W}(S)$ which depends on the topology of $S$. For the cylinder $S=\mathbb{C}^*$…

High Energy Physics - Theory · Physics 2025-07-29 Nicolas Cresto , Laurent Freidel

We construct a new global, fully analytic, approximate spacetime which accurately describes the dynamics of non-precessing, spinning black hole binaries during the inspiral phase of the relativistic merger process. This approximate solution…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Brennan Ireland , Bruno C. Mundim , Hiroyuki Nakano , Manuela Campanelli

We study the asymptotic behavior of a singular potential, and discuss the self-consistency condition for the spherical symmetric Klein-Gordon equation. In our view, gravity and the weak force are subsidiary, derived from electricity.…

High Energy Physics - Theory · Physics 2009-01-28 Miyuki Nishikawa

The asymptotic structure of AdS spacetimes in the context of General Relativity coupled to the Maxwell field in three spacetime dimensions is analyzed. Although the fall-off of the fields is relaxed with respect to that of Brown and…

High Energy Physics - Theory · Physics 2016-03-23 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

We construct a canonical quantization of the two dimensional theory of a parametrized scalar field on noncompact spatial slices. The kinematics is built upon generalized charge-network states which are labelled by smooth embedding…

General Relativity and Quantum Cosmology · Physics 2014-04-09 Sandipan Sengupta

In this work we analyse the constraints imposed by Poincar\'e symmetry on the gravitational form factors appearing in the Lorentz decomposition of the energy-momentum tensor matrix elements for massive states with arbitrary spin. By…

High Energy Physics - Theory · Physics 2019-08-14 Sabrina Cotogno , Cédric Lorcé , Peter Lowdon

We introduce a new set of boundary conditions for three-dimensional higher spin gravity with gauge group $SL(3,\mathbb{R})\times SL(3,\mathbb{R})$, where its dynamics at the boundary is described by the members of the modified Boussinesq…

High Energy Physics - Theory · Physics 2020-12-30 Emilio Ojeda , Alfredo Pérez

A new formula for the conserved charges in 3+1 gravity for spacetimes with local AdS asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Rodrigo Aros , Mauricio Contreras , Rodrigo Olea , Ricardo Troncoso , Jorge Zanelli

In this work, we analyze the influence of noninertial and spin effects on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background. To model this background, we consider a uniform magnetic field, the Aharonov-Bohm…

High Energy Physics - Theory · Physics 2020-09-15 R. R. S. Oliveira

In the gauge theory of gravity based on the Poincare group (the semidirect product of the Lorentz group and the spacetime translations) the mass (energy-momentum) and the spin are treated on an equal footing as the sources of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yuri N. Obukhov

Quantum entanglement, induced by spatial noncommutativity, is investigated for an anisotropic harmonic oscillator. Exact solutions for the system are obtained after the model is re-expressed in terms of canonical variables, by performing a…

Quantum Physics · Physics 2020-11-26 Abhishek Muhuri , Debdeep Sinha , Subir Ghosh

Following the recent studies of the trickiness in spin and orbital angular momentum of the vector gauge fields, we perform here a parallel analysis for the tensor gauge field, which has certain relation to gravitation. Similarly to the…

High Energy Physics - Theory · Physics 2011-06-01 Xiang-Song Chen , Ben-Chao Zhu , Niall Ó Murchadha

A formulation of discrete gravity was recently proposed based on defining a lattice and a shift operator connecting the cells. Spinors on such a space will have rotational SO(d) invariance which is taken as the fundamental symmetry.…

High Energy Physics - Theory · Physics 2026-01-07 Ali H. Chamseddine , Mariam Khaldieh

We establish the full asymptotic stability of the sine-Gordon kink outside symmetry under small perturbations in weighted Sobolev norms. Our proof consists of a space-time resonances approach based on the distorted Fourier transform to…

Analysis of PDEs · Mathematics 2024-11-12 Gong Chen , Jonas Luhrmann

We propose novel asymptotically locally flat boundary conditions for Einstein Gravity without cosmological constant in four dimensions that are consistent with the variational principle. They allow for complex solutions that are…

High Energy Physics - Theory · Physics 2023-10-31 Nishant Gupta , Partha Paul , Nemani V. Suryanarayana

This work analyzes the asymptotic behaviors of the asymptotically flat solutions of Einstein-\ae ther theory in the linear case. The vacuum solutions for the tensor, vector, and scalar modes are first obtained, written as sums of various…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Shaoqi Hou , Anzhong Wang , Zong-Hong Zhu

The angular power spectrum is investigated in the model of supergravity, incorporating the target-space duality and the non-perturbative gaugino condensation in the hidden sector. The inflation and supersymmetry breaking occur at once by…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mitsuo J. Hayashi , Shiro Hirai , Yusuke Okame , Tomoki Watanabe

The asymptotic charges of spin-1 and spin-2 fields are studied near spatial infinity. We evaluate the charges at the critical sets where spatial infinity meets null infinity with the aim of finding the relation between the charges at future…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Juan A. Valiente Kroon
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