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We discuss an enhancement of the Brown-Henneaux boundary conditions in three-dimensional AdS General Relativity to encompass Weyl transformations of the boundary metric. The resulting asymptotic symmetry algebra, after a field-dependent…

High Energy Physics - Theory · Physics 2021-10-13 Francesco Alessio , Glenn Barnich , Luca Ciambelli , Pujian Mao , Romain Ruzziconi

We present a systematic approach to supersymmetric holographic renormalization for a generic 5D $\mathcal{N}=2$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to…

High Energy Physics - Theory · Physics 2018-01-17 Ok Song An

We discuss a fine-tuning of rather generic three dimensional higher-curvature gravity actions that leads to gauge symmetry enhancement at the linearized level via partial masslessness. Requiring this gauge symmetry to be present also…

High Energy Physics - Theory · Physics 2012-03-27 Hamid Afshar , Branislav Cvetković , Sabine Ertl , Daniel Grumiller , Niklas Johansson

It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is…

High Energy Physics - Theory · Physics 2021-07-28 Chong-Sun Chu

Motivated by an axiomatic approach to characterize space-time it is investigated a reformulation of Einstein's gravity where the pseudo-riemannian geometry is substituted by a Weyl one. It is presented the main properties of the Weyl…

General Relativity and Quantum Cosmology · Physics 2011-12-19 F. P. Poulis , J. M. Salim

We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the…

High Energy Physics - Theory · Physics 2020-12-02 Giorgos Anastasiou , Olivera Miskovic , Rodrigo Olea , Ioannis Papadimitriou

Some known constraints on Renormalization Group flow take the form of inequalities: in even dimensions they refer to the coefficient $a$ of the Weyl anomaly, while in odd dimensions to the sphere free energy $F$. In recent work…

High Energy Physics - Theory · Physics 2016-01-27 Lin Fei , Simone Giombi , Igor R. Klebanov , Grigory Tarnopolsky

A new 8-dim conformal gauging solves the auxiliary field problem and eliminates unphysical size change from Weyl's electromagnetic theory. We derive the Maurer-Cartan structure equations and find the zero curvature solutions for the…

High Energy Physics - Theory · Physics 2009-10-30 James T. Wheeler

We present the {\em (symmetry-incorporating) formalism of general continuum models with boundary conditions} and apply it to the model with the minimal number of degrees of freedom necessary to have a well-defined boundary: a model with a…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Maxim Kharitonov

Asymptotically anti-de Sitter space-times in pure gravity with negative cosmological constant are described, in all space-time dimensions greater than two, by classical degrees of freedom on the conformal boundary at space-like infinity.…

High Energy Physics - Theory · Physics 2009-10-31 K. Bautier , F. Englert , M. Rooman , Ph. Spindel

We consider the Mielke-Baekler model of three-dimensional AdS gravity with torsion, which has gravitational and translational Chern-Simons terms in addition to the usual Einstein-Hilbert action with cosmological constant. It is shown that…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Klemm , Giovanni Tagliabue

We continue developing the freelance holography program, formulating gauge/gravity correspondence where the gravity side is formulated on a space bounded by a generic timelike codimension-one surface inside AdS and arbitrary boundary…

High Energy Physics - Theory · Physics 2025-11-05 A. Parvizi , M. M. Sheikh-Jabbari , V. Taghiloo

We implement the so-called Weyl-Heisenberg covariant integral quantization in the case of a classical system constrained by a bounded or semi-bounded geometry. The procedure, which is free of the ordering problem of operators, is…

Quantum Physics · Physics 2019-11-04 J. -P. Gazeau , T. Koide , D. Noguera

Gravitoelectromagnetism in the Weyl formalism is investigated through an analysis of the consequences of a restricted gauge symmetry acting on the tensor field $A_{\mu\nu}$. The propagator associated with the GEM field is explicitly derived…

General Relativity and Quantum Cosmology · Physics 2026-05-27 L. A. S. Evangelista , A. F. Santos

Quantum Hall physics has been theoretically predicted in 4-dimensions and higher. In hypothetical 2n-dimensions, the topological characters of both the bulk and the boundary are manifested as quantized non-linear transport coefficients that…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Wenting Cheng , Emil Prodan , Camelia Prodan

We construct a Weyl-Einsteinian-Cubic Gravity (ECG) as a cubic gauge theory of gravity via abelian gauge and properly tuned compensating real scalar fields. The model is free from any dimensionful parameters. The bare ECG emerges as the…

High Energy Physics - Theory · Physics 2025-09-05 Suat Dengiz

2T-gravity in d+2 dimensions predicts 1T General Relativity (GR) in d dimensions, augmented with a local scale symmetry known as the Weyl symmetry in 1T field theory. The emerging GR comes with a number of constraints, particularly on…

High Energy Physics - Theory · Physics 2009-11-13 Itzhak Bars , Shih-Hung Chen

We present a general method of deriving the effective action for conformal anomalies in any even dimension, which satisfies the Wess-Zumino consistency condition by construction. The method relies on defining the coboundary operator of the…

High Energy Physics - Theory · Physics 2009-11-07 Pawel O. Mazur , Emil Mottola

Using the relation between diffeomorphisms in the bulk and Weyl transformations on the boundary we study the Weyl transformation properties of the bulk metric on shell and of the boundary action. We obtain a universal formula for one of the…

High Energy Physics - Theory · Physics 2009-10-31 C. Imbimbo , A. Schwimmer , S. Theisen , S. Yankielowicz

In order to treat quantum cosmology in the framework of Weyl spacetimes we take the first step of extending the Arnowitt-Deser-Misner formalism to Weyl geometry. We then obtain an expression of the curvature tensor in terms of spatial…

General Relativity and Quantum Cosmology · Physics 2015-06-24 A. B. Barreto , T. S. Almeida , C. Romero