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In this paper, we will make an attempt to clarify the relation between three-dimensional euclidean loop quantum gravity with vanishing cosmological constant and quantum field theory in the continuum. We will argue, in particular, that in…

广义相对论与量子宇宙学 · 物理学 2018-10-22 Wolfgang Wieland

In this paper, we consider the bulk plus boundary phase space for three-dimensional gravity with negative cosmological constant for a particular choice of conformal boundary conditions: the conformal class of the induced metric at the…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Jeevan Chandra Namburi , Wolfgang Wieland

We analyse the conservation laws associated with large gauge transformations of massless fields in Minkowski space. Our aim is to highlight the interplay between boundary conditions and finiteness of the asymptotically conserved charges in…

高能物理 - 理论 · 物理学 2020-11-10 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

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…

高能物理 - 理论 · 物理学 2016-03-23 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

Consistency of Einstein's gravitational field equation $G_{\mu\nu} \propto T_{\mu\nu}$ imposes a "conservation condition" on the $T$-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion,…

广义相对论与量子宇宙学 · 物理学 2015-12-09 Eric Bergshoeff , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

高能物理 - 理论 · 物理学 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

We present a new set of boundary conditions for General Relativity on AdS$_3$, where the dynamics of the boundary degrees of freedom are described by two independent left and right members of the Gardner hierarchy of integrable equations,…

高能物理 - 理论 · 物理学 2019-09-04 Emilio Ojeda , Alfredo Pérez

We study the constraints coming from local causality requirement in various $2+1$ dimensional dynamical theories of gravity. In topologically massive gravity, with a single parity non-invariant massive degree of freedom, and in new massive…

高能物理 - 理论 · 物理学 2017-05-16 Jose D. Edelstein , Gaston Giribet , Carolina Gomez , Ercan Kilicarslan , Matias Leoni , Bayram Tekin

We test the effects of new diffeomorphism invariant boundary terms in SL(2,R)$\times$SL(2,R) Chern-Simons theory. The gravitational interpretation corresponds to free AdS$_3$ boundary conditions, without restrictions on the boundary…

高能物理 - 理论 · 物理学 2016-11-23 Luis Apolo , Bo Sundborg

We study topologically massive (2+1)-dimensional gravity with a negative cosmological constant. The masses of the linearized curvature excitations about AdS_3 backgrounds are not only shifted from their flat background values but, more…

高能物理 - 理论 · 物理学 2010-04-28 S. Carlip , S. Deser , A. Waldron , D. K. Wise

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

高能物理 - 理论 · 物理学 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

In this note, I describe an attempt to construct a phenomenological gravitational model at the boundary of the AdS manifold from the variation of boundary terms in the gravitational action. I find that for an AdS vacuum in the bulk,…

广义相对论与量子宇宙学 · 物理学 2020-08-13 Justin C. Feng

The dual dynamics of Einstein gravity on AdS$_3$ supplemented with boundary conditions of KdV-type is identified. It corresponds to a two-dimensional field theory at the boundary, described by a novel action principle whose field equations…

高能物理 - 理论 · 物理学 2019-01-30 Hernán A. González , Javier Matulich , Miguel Pino , Ricardo Troncoso

The phase space of three-dimensional gravity with Compere-Song-Strominger (CSS) boundary conditions is endowed with asymptotic symmetries consisting in the semi-direct product of a Virasoro and a $\hat{u}(1)$ Ka\v{c}-Moody algebra, and…

高能物理 - 理论 · 物理学 2021-02-23 Luca Ciambelli , Stéphane Detournay , Antoine Somerhausen

The Generalized Minimal Massive Gravity (GMMG) theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. In the present…

高能物理 - 理论 · 物理学 2016-03-23 M. R. Setare , H. Adami

We study asymptotic symmetry algebras for classes of three dimensional supergravities with and without cosmological constant. In the first part we generalise some of the non-Dirichlet boundary conditions of $AdS_3$ gravity to extended…

高能物理 - 理论 · 物理学 2018-09-05 Rohan R. Poojary , Nemani V. Suryanarayana

The three-dimensional (3D) full compressible magnetohydrodynamic system is studied in a general bounded domain with slip boundary condition for the velocity filed, adiabatic condition for the temperature and perfect conduction for the…

偏微分方程分析 · 数学 2022-08-10 Yazhou Chen , Yunkun Chen , Xue Wang

Pure three-dimensional gravity is a renormalizable theory with two free parameters labelled by $G$ and $\Lambda$. As a consequence, correlation functions of the boundary stress tensor in AdS$_3$ are uniquely fixed in terms of one…

高能物理 - 理论 · 物理学 2022-08-31 Stephen Ebert , Eliot Hijano , Per Kraus , Ruben Monten , Richard M. Myers

We obtain all homogeneous solutions of new massive gravity models on S^3 and AdS_3 by extending previously known results for the cosmological topologically massive theory of gravity in three dimensions. In all cases, apart from the…

高能物理 - 理论 · 物理学 2010-12-15 Ioannis Bakas , Christos Sourdis

Three dimensional topologically massive gravity (TMG) with a negative cosmological constant -\ell^{-2} and positive Newton constant G admits an AdS_3 vacuum solution for any value of the graviton mass \mu. These are all known to be…

高能物理 - 理论 · 物理学 2009-04-02 Dionysios Anninos , Wei Li , Megha Padi , Wei Song , Andrew Strominger