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In this paper it is implemented how to make compatible the boundary conditions and the gauge fixing conditions for complex general relativity written in terms of Ashtekar variables using the Henneaux-Teitelboim-Vergara approach. Moreover,…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Merced Montesinos , Jose David Vergara

In canonical quantum gravity, when space is a compact manifold with boundary there is a Hamiltonian given by an integral over the boundary. Here we compute the action of this `boundary Hamiltonian' on observables corresponding to open…

General Relativity and Quantum Cosmology · Physics 2009-10-28 John Baez , Javier P. Muniain , Dardo Piriz

We give a simple derivation of a cosmological bound on the graviton mass for spatially flat FRW solutions in massive gravity with an FRW reference metric and for bigravity theories. This bound comes from the requirement that the kinetic…

High Energy Physics - Theory · Physics 2015-06-16 Matteo Fasiello , Andrew J. Tolley

We study surface charges on a generic null boundary in three dimensional topological massive gravity (TMG). We construct the solution phase space which involves four independent functions over the two dimensional null boundary. One of these…

High Energy Physics - Theory · Physics 2021-06-16 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo , H. Yavartanoo , C. Zwikel

We revisit the holographic dictionary for a free massless scalar in AdS$_3$, focusing on the `singleton' solutions for which the boundary profile is an arbitrary chiral function. We look for consistent boundary conditions which include this…

High Energy Physics - Theory · Physics 2017-09-08 Joris Raeymaekers , Dieter Van den Bleeken

We compute the Hamiltonian surface charges of gravity for a family of conservative boundary conditions, that include Dirichlet, Neumann, and York's mixed boundary conditions defined by holding fixed the conformal induced metric and the…

High Energy Physics - Theory · Physics 2021-12-22 Gloria Odak , Simone Speziale

We examine topological solitons in a minimal variational model for a chiral magnet, so-called chiral skyrmions. In the regime of large background fields, we prove linear stability of axisymmetric chiral skyrmions under arbitrary…

Classical Analysis and ODEs · Mathematics 2017-11-22 Xinye Li , Christof Melcher

Particle-hole symmetry and chiral symmetry play a pivotal role in multiple areas of physics, yet they remain unstudied in systems with nonlinear interactions whose nonlinear normal modes do not exhibit $\textbf{U}(1)$-gauge symmetry. In…

Statistical Mechanics · Physics 2024-03-28 Di Zhou

We initiate a systematic study of Einstein-Gauss-Bonnet gravity in the presence of boundaries subject to conformal boundary conditions, in which the conformal class of the boundary metric is kept fixed. In Einstein gravity, the trace of the…

High Energy Physics - Theory · Physics 2026-02-18 Damián A. Galante , Robert C. Myers , Themistocles Zikopoulos

Electrons which are slowly moving through chiral magnetic textures can effectively be described as if they where influenced by electromagnetic fields emerging from the real-space topology. This adiabatic viewpoint has been very successful…

Materials Science · Physics 2018-10-23 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Bulk supergravity on a manifold with boundary must be supplemented by boundary conditions that preserve local supersymmetry. This "downstairs" picture has certain advantages over the equivalent "upstairs" picture, expressed in terms of…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan Bagger , Dmitry V. Belyaev

We discover that chiral symmetry does not act as an infrared attractor of the renormalization group flow under the impact of quantum gravity fluctuations. Thus, observationally viable quantum gravity models must respect chiral symmetry. In…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Astrid Eichhorn , Stefan Lippoldt

We analyze the asymptotic solutions of Chiral Gravity (Topologically Massive Gravity at \mu l = 1 with Brown-Henneaux boundary conditions) focusing on non-Einstein metrics. A class of such solutions admits curvature singularities in the…

High Energy Physics - Theory · Physics 2014-11-21 Geoffrey Compère , Sophie de Buyl , Stéphane Detournay

AdS3 vacua of topologically massive gravity (TMG) have been shown to be perturbatively unstable for all values of the coupling constant except the chiral point \mu l=1. We study the possibility that the warped vacua of TMG, which exist for…

High Energy Physics - Theory · Physics 2009-11-09 Dionysios Anninos , Mboyo Esole , Monica Guica

Wolfgang Kummer was a pioneer of two-dimensional gravity and a strong advocate of the first order formulation in terms of Cartan variables. In the present work we apply Wolfgang Kummer's philosophy, the `Vienna School approach', to a…

High Energy Physics - Theory · Physics 2008-06-27 D. Grumiller , R. Jackiw , N. Johansson

We formulate four-dimensional conformal gravity with (Anti-)de Sitter boundary conditions that are weaker than Starobinsky boundary conditions, allowing for an asymptotically subleading Rindler term concurrent with a recent model for…

High Energy Physics - Theory · Physics 2014-04-22 D. Grumiller , M. Irakleidou , I. Lovrekovic , R. McNees

We develop a representation-theoretic framework for the relation between asymptotic symmetry evolution and monodromy in critical topologically massive gravity at the chiral point $\mu \ell=1$. We show that continuous evolution generated by…

High Energy Physics - Theory · Physics 2026-05-06 Yannick Mvondo-She

We revisit the problem of the bulk-boundary unitarity clash in 2 + 1 dimensional gravity theories, which has been an obstacle in providing a viable dual two-dimensional conformal field theory for bulk gravity in anti-de Sitter (AdS)…

High Energy Physics - Theory · Physics 2017-07-19 Gokhan Alkac , Luca Basanisi , Ercan Kilicarslan , Bayram Tekin

A discussion of asymptotic weak and strong Poincare' charges in metric gravity is given to identify the proper Hamiltonian boundary conditions. The asymptotic part of the lapse and shift functions is put equal to their analogues on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luca Lusanna , Roberto de Pietri

The asymptotic solutions of cosmological topologically massive gravity (TMG) are analyzed for values of the mass parameter in the range $\mu\geq1$. At non-chiral values, a new term in the Fefferman-Graham expansion is needed to capture the…

High Energy Physics - Theory · Physics 2011-09-22 Colin Cunliff