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A class of boundary conditions for canonical general relativity are proposed and studied at the quasi-local level. It is shown that for untrapped or marginal surfaces, fixing the area element on the 2-surface (rather than the induced…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roh-Suan Tung

We derive a sufficient set of conditions on the Euclidean boundary theory in dS/CFT for it to predict classical, Lorentzian bulk evolution at large spatial volumes. Our derivation makes use of a canonical transformation to express the bulk…

High Energy Physics - Theory · Physics 2017-02-01 Thomas Hertog , Ruben Monten , Yannick Vreys

We propose an explicit non-linear realization of massive gravity, which relies on the introduction of a spurious compact extra dimension, on which we impose half-Newmann and half-Dirichlet boundary conditions. At the linearized level, we…

High Energy Physics - Theory · Physics 2010-05-12 Claudia de Rham

Following recent works on corner charges we investigate the boundary structure in the case of the theory of gravity formulated as a constrained BF theory. This allows us not only to introduce the cosmological constant, but also explore the…

General Relativity and Quantum Cosmology · Physics 2021-08-18 R. Durka , J. Kowalski-Glikman

The covariant Hamiltonian formulation for general relativity is studied in terms of self-dual variables on a manifold with an internal and lightlike boundary. At this inner boundary, new canonical variables appear: a spinor and a…

General Relativity and Quantum Cosmology · Physics 2017-11-07 Wolfgang Wieland

Using a completely covariant approach, we discuss the role of boundary conditions (BCs) and the corresponding Gibbons--Hawking--York (GHY) terms in $ \mathit{f}(\mathit{R}) $-gravity in arbitrary dimensions. We show that $ f(\mathit{R})…

General Relativity and Quantum Cosmology · Physics 2019-01-01 H. Khodabakhshi , F. Shojai , A. Shirzad

In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in 2+1 dimensions with vanishing cosmological constant that are a generalization of the Barnich-Comp{\`e}re boundary conditions gr-qc/0610130. These…

High Energy Physics - Theory · Physics 2017-03-01 Stéphane Detournay , Max Riegler

We present sufficient conditions for the existence of a periodic solution for a class of systems describing the periodically forced motion of a massive point on a compact surface with a boundary.

Dynamical Systems · Mathematics 2015-08-13 Ivan Polekhin

Recent work in the literature has proposed the use of non-local boundary conditions in Euclidean quantum gravity. The present paper studies first a more general form of such a scheme for bosonic gauge theories, by adding to the boundary…

High Energy Physics - Theory · Physics 2009-10-31 Giampiero Esposito

In the AdS/CFT correspondence a chiral primary is described by a supergravity solution with mass equaling angular momentum. For AdS_3 X S^3 we are led to consider three special families of metrics with this property: metrics with conical…

High Energy Physics - Theory · Physics 2008-11-26 Oleg Lunin , Samir D. Mathur , Ashish Saxena

We propose a new, chiral description for massive higher-spin particles in four spacetime dimensions, which facilitates the introduction of consistent interactions. As proof of concept, we formulate three theories, in which higher-spin…

High Energy Physics - Theory · Physics 2022-12-14 Alexander Ochirov , Evgeny Skvortsov

We construct postcarrollian gravity models in two, three, and four spacetime dimensions by applying algebraic expansion methods. As a byproduct, we present the most general postcarrollian 2d dilaton gravity model, construct its solutions…

High Energy Physics - Theory · Physics 2025-04-24 Florian Ecker , Daniel Grumiller , Patricio Salgado-Rebolledo

We consider the holography of the Abelian Maxwell-Chern-Simons (MCS) system in Lorentzian three-dimensional asymptotically-AdS spacetimes, and discuss a broad class of boundary conditions consistent with conservation of the symplectic…

High Energy Physics - Theory · Physics 2018-10-09 Tomás Andrade , Juan I. Jottar , Robert G. Leigh

We start with the relation between the chiral symmetry breaking and gauge field topology. New lattice result further enhance the notion of Zero Mode Zone, a very narrow strip of states with quasizero Dirac eigenvalues. Then we move to the…

Nuclear Theory · Physics 2015-06-18 Edward Shuryak

We consider the chiral anomaly for systems with a wide class of Hermitian Dirac operators ${Q}$ in 4D Euclidean spacetime. We suppose that $ Q$ is not necessarily linear in derivatives and also that it contains a coordinate inhomogeneity…

High Energy Physics - Theory · Physics 2025-11-26 Praveen D. Xavier , M. A. Zubkov

We calculate canonical charges in four dimensional conformal gravity using the generalised boundary conditions presented in \cite{Grumiller:2013mxa}. We show that the charges are finite and conserved. The asymptotic symmetry algebras…

High Energy Physics - Theory · Physics 2016-01-05 I. Lovrekovic

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…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Wolfgang Wieland

We show that superpositions of classical states in quantum gravity with fixed topology can lead to new classical states with a different topology. We study this phenomenon in a particular limit of the LLM geometries. In this limit, the UV…

High Energy Physics - Theory · Physics 2018-01-17 David Berenstein , Alexandra Miller

We study the holomorphic twist of 3d ${\cal N}=2$ gauge theories in the presence of boundaries, and the algebraic structure of bulk and boundary local operators. In the holomorphic twist, both bulk and boundary local operators form chiral…

High Energy Physics - Theory · Physics 2020-05-04 Kevin Costello , Tudor Dimofte , Davide Gaiotto

We explore physics on the boundary of a Randall-Sundrum type model when the brane tension is slightly sub-critical. We calculate the masses of the Kaluza-Klein decomposition of the graviton and use a toy model to show how localized gravity…

High Energy Physics - Theory · Physics 2009-10-31 Matthew D. Schwartz