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The phase space of general relativity in a finite subregion is characterized by edge modes localized at the codimension-2 boundary, transforming under an infinite-dimensional group of symmetries. The quantization of this symmetry algebra is…

High Energy Physics - Theory · Physics 2023-02-22 William Donnelly , Laurent Freidel , Seyed Faroogh Moosavian , Antony J. Speranza

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

In which is developed a new form of superselection sectors of topological origin. By that it is meant a new investigation that includes several extensions of the traditional framework of Doplicher, Haag and Roberts in local quantum…

Mathematical Physics · Physics 2009-03-20 Romeo Brunetti , Giuseppe Ruzzi

We construct an explicit representation of the algebra of local diffeomorphisms of a manifold with realistic dimensions. This is achieved in the setting of a general approach to the (quantum) dynamics of a physical system which is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. Aldaya , J. L. Jaramillo

We develop a systematic Hamiltonian formulation for a gravitating topological matter system in three-dimensional spacetime, coupling a scalar gauge field and a rank-2 antisymmetric gauge field to Einstein--Cartan gravity. We perform the…

High Energy Physics - Theory · Physics 2026-04-22 Omar Rodríguez-Tzompantzi

We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative $U(1)$ gauge theory. Our framework is based on an integrating symplectic groupoid for the underlying Poisson brackets, which we…

High Energy Physics - Theory · Physics 2024-02-20 Vladislav G. Kupriyanov , Alexey A. Sharapov , Richard J. Szabo

We present a 3+1 formulation of the effective field theory framework called the Standard-Model Extension in the gravitational sector. The explicit local Lorentz and diffeomorphism symmetry breaking assumption is adopted and we perform a…

General Relativity and Quantum Cosmology · Physics 2021-02-15 Kellie O'Neal-Ault , Quentin G. Bailey , Nils A. Nilsson

We present a quantization of the Hamiltonian and diffeomorphism constraint of canonical quantum gravity in the spin network representation. The novelty consists in considering a space of wavefunctions based on the Vassiliev knot invariants.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 C. Di Bartolo , R. Gambini , J. Griego , J. Pullin

In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing…

High Energy Physics - Theory · Physics 2015-06-05 Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

We describe a completely general and fully non-perturbative framework for constructing dynamical reference frames in generally covariant theories, and for understanding the gauge-invariant observables that they yield. Our approach makes use…

High Energy Physics - Theory · Physics 2022-06-06 Christophe Goeller , Philipp A. Hoehn , Josh Kirklin

This thesis concerns research undertaken in two related topics concerning high-energy gravitational physics. The first is the construction of a manifestly diffeomorphism-invariant Exact Renormalization Group (ERG). This is a procedure that…

General Relativity and Quantum Cosmology · Physics 2016-12-22 Anthony W. H. Preston

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent…

High Energy Physics - Theory · Physics 2018-05-30 Marc Henneaux , Cédric Troessaert

In this note we investigate outcomes of a symplectic formula for the gravitational waves charges in the general relativity linearized around the de Sitter spacetime. We derive their explicit form at {\it scri} in the Bondi frame, compare…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Maciej Kolanowski , Jerzy Lewandowski

We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black…

High Energy Physics - Theory · Physics 2020-10-28 Laura Donnay , Gaston Giribet , Julio Oliva

We revisit the status of asymptotic symmetries in higher even dimensions and propose a definition of superrotation charge beyond linearized gravity. We prove that there is a well-defined spacetime action of the superrotation charge on the…

High Energy Physics - Theory · Physics 2023-01-11 Chandramouli Chowdhury , Anupam A. H. , Arpan Kundu

It is well-known that the presence of a spacetime boundary requires the conventional Einstein-Hilbert (EH) action to be supplemented by the Gibbons-Hawking (GH) boundary term in order to retain the standard variational procedure. When the…

High Energy Physics - Theory · Physics 2018-07-23 Gregory Gabadadze , David Pirtskhalava

This paper meticulously revisit and study the flux geometry of any compact oriented manifold $(M; W)$. We generalize several well-known factorization results, exhibit some orbital conditions for the study of flux geometry, give a proof of…

Symplectic Geometry · Mathematics 2019-08-06 Stéphane Tchuiaga

We review the issue of gauge and gravitational anomalies with backgrounds, maybe offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT…

High Energy Physics - Theory · Physics 2015-05-20 Pablo Mora

The notion of "reference frame" is a central theoretical construct for interpreting the physical implications of spacetime diffeomorphism invariance in General Relativity. However, the alternative formulation of classical General Relativity…

General Relativity and Quantum Cosmology · Physics 2018-01-18 Sean Gryb

We aim to analyze the consistency of the deformation of the Heisenberg algebra in the setting of constrained Hamiltonian systems, providing a procedure to induce the deformation on the Poisson algebra after symplectic reduction. We…

Mathematical Physics · Physics 2026-03-12 Matteo Bruno , Sebastiano Segreto
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