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We investigate the emergence of infinite-dimensional symmetries in the absence of gauge invariance by analyzing massless scalar theories. We construct an infinite tower of charges that arise from the subleading equations of motion at null…

High Energy Physics - Theory · Physics 2025-06-05 Matías Briceño , Hernán A. González , Alfredo Pérez

The effective action for gravity at high curvatures is likely to contain higher derivative terms. These corrections may have profound consequences for the singularity structure of space-time and for early Universe cosmology. In this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert H. Brandenberger

Using as an example the Einstein gravity with the cosmological constant, we discuss the calculation of renormalization group functions off shell. We found, that gauge dependent terms should be absorbed by the nonlinear renormalization of…

General Relativity and Quantum Cosmology · Physics 2008-02-03 K. Kazakov , P. Pronin , K. Stepanyantz

We present, for the first time, the complete off-shell $4D, {\cal N}=2$ superfield actions for any free massless integer spin ${\bf s} \geq 2$ fields, using the ${\cal N}=2$ harmonic superspace approach. The relevant gauge supermultiplet is…

High Energy Physics - Theory · Physics 2024-09-27 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

A definite form for the boundary term that produces the finiteness of both the conserved quantities and Euclidean action for any Lovelock gravity with AdS asymptotics is presented. This prescription merely tells even from odd bulk…

High Energy Physics - Theory · Physics 2009-04-03 Georgios Kofinas , Rodrigo Olea

We study asymptotically flat spacetimes in five spacetime dimensions by Hamiltonian methods, focusing on spatial infinity and keeping all asymptotically relevant nonlinearities in the transformation laws and in the charge-generators.…

High Energy Physics - Theory · Physics 2022-02-16 Oscar Fuentealba , Marc Henneaux , Javier Matulich , Cédric Troessaert

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

A symmetry analysis is presented for the three-dimensional nonrelativistic motion of charged particles in arbitrary stationary electromagnetic fields. The general form of the Lie point symmetries is found along with the fields that respect…

Mathematical Physics · Physics 2015-06-15 Nikos Kallinikos , Efthymia Meletlidou

We consider a nonstandard $D=2+1$ gravity described by a translational Chern--Simons action, and couple it to the nonrelativistic point particles. We fix the asymptotic coordinate transformations in such a way that the space part of the…

High Energy Physics - Theory · Physics 2009-10-31 J. Lukierski , P. C. Stichel , W. J. Zakrzewski

We consider generalized versions of the massless spin-boson model. Building on the recent work in 'Approach to ground state and time-independent photon bound for massless spin-boson models' (arXiv:1109.5582, Annales H. Poincare, 2012) and…

Mathematical Physics · Physics 2013-01-14 W. De Roeck , M. Griesemer , A. Kupiainen

After a brief review of integrability, first in the absence and then in the presence of a boundary, I outline the construction of actions for the N=1 and N=2 boundary sine-Gordon models. The key point is to introduce Fermionic boundary…

High Energy Physics - Theory · Physics 2007-05-23 Rafael I. Nepomechie

In this paper, we study the infinity harmonic functions with linear growth rate at infinity defined on exterior domains. We show that such functions must be asymptotic to planes or cones at infinity. We also establish the solvability of…

Analysis of PDEs · Mathematics 2019-03-05 Guanghao Hong , Yizhen Zhao

We give a geometrical definition of the asymptotic flatness at null infinity in spacetimes of even dimension $d$ greater than 4 within the framework of conformal infinity. Our definition is shown to be stable against perturbations to linear…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Hollands , Akihiro Ishibashi

We study the thermodynamics of Einstein gravity with vanishing cosmological constant subjected to conformal boundary conditions. Our focus is on comparing the series of subextensive terms to predictions from thermal effective field theory,…

High Energy Physics - Theory · Physics 2025-01-29 Batoul Banihashemi , Edgar Shaghoulian , Sanjit Shashi

We investigate the asymptotic behavior of the cosmological field equations in Symmetric Teleparallel General Relativity, where a nonlinear function of the boundary term is introduced instead of the cosmological constant to describe the…

General Relativity and Quantum Cosmology · Physics 2024-05-08 Andronikos Paliathanasis

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

High Energy Physics - Theory · Physics 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

We use the formalism developed by Wald and Zoupas to derive explicit covariant expressions for the charges and fluxes associated with the Bondi-Metzner-Sachs symmetries at null infinity in asymptotically flat spacetimes in vacuum general…

General Relativity and Quantum Cosmology · Physics 2022-04-04 Alexander M. Grant , Kartik Prabhu , Ibrahim Shehzad

We calculate the spin and charge dynamical susceptibilities of a strongly correlated impurity model in a renormalised perturbation theory. The irreducible for vertices for the quasiparticle scattering are deduced from the renormalised…

Strongly Correlated Electrons · Physics 2016-08-31 A. C. Hewson

We describe the ``universal'' action for massless superfields of all superspins in N = 1, D = 4 anti-de Sitter superspace as a gauge theory of unconstrained superfields taking their values in the commutative algebra of analytic functions…

High Energy Physics - Theory · Physics 2009-10-30 S. James Gates , Sergei M. Kuzenko , Alexander G. Sibiryakov

We develop a new approach to recurrence and the existence of non-constant harmonic functions on infinite weighted graphs. The approach is based on the capacity of subsets of metric boundaries with respect to intrinsic metrics. The main tool…

Functional Analysis · Mathematics 2023-01-06 Daniel Lenz , Simon Puchert , Marcel Schmidt