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We complete the formulation of a general framework for the analysis of high-order nonspherical perturbations of a four-dimensional spherical spacetime by including a gauge-invariant description of the perturbations. We present a general…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Brizuela , Jose M. Martin-Garcia , Guillermo A. Mena Marugan

We study the Hamiltonian structure of the gauge symmetry enhancement in the enlarged CP(N) model coupled with U(2) Chern-Simons term, which contains a free parameter governing explicit symmetry breaking and symmetry enhancement. After…

High Energy Physics - Theory · Physics 2009-11-10 Soon-Tae Hong , Joohan Lee , Tae Hoon Lee , Phillial Oh

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We…

High Energy Physics - Theory · Physics 2015-06-04 Marc Henneaux , Gustavo Lucena Gómez , Jaesung Park , Soo-Jong Rey

We study the Lagrangian description of chiral bosons, p-form gauge fields with (anti-)self-dual gauge field strengths, in D=2p+2 dimensional spacetime of nontrivial topology. We show that the manifestly Lorentz and diffeomorphism invariant…

High Energy Physics - Theory · Physics 2015-06-22 Igor Bandos

We demonstrate the existence of a novel set of discrete symmetries in the context of N = 2 supersymmetric (SUSY) quantum mechanical model with a potential function f(x) that is a generalization of the potential of the 1D SUSY harmonic…

High Energy Physics - Theory · Physics 2013-04-25 R. P. Malik , Avinash Khare

We reconsider here the problem of finding the general 4D spherically symmetric, asymptotically flat and time-independent solutions to the lowest-order string equations in the $\ap$ expansion. Our construction includes earlier work, but…

High Energy Physics - Theory · Physics 2010-11-19 C. P. Burgess , R. C. Myers , F. Quevedo

We consider a self-interacting scalar field whose mass saturates the Breitenlohner-Freedman bound, minimally coupled to Einstein gravity with a negative cosmological constant in D \geq 3 dimensions. It is shown that the asymptotic behavior…

High Energy Physics - Theory · Physics 2009-11-10 Marc Henneaux , Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so, we naturally uncover gauged models with dual higher-group symmetries and potential…

Strongly Correlated Electrons · Physics 2025-03-19 Heidar Moradi , Ömer M. Aksoy , Jens H. Bardarson , Apoorv Tiwari

In general relativity as well as gauge theories, non-trivial symmetries can appear at boundaries. In the presence of radiation some of the symmetries are not Hamiltonian vector fields, hence the definition of charges for the symmetries…

High Energy Physics - Theory · Physics 2025-03-26 Antoine Rignon-Bret , Simone Speziale

A formulation of Poincare symmetry as an inner symmetry of field theories defined on a fixed Minkowski spacetime is given. Local P gauge transformations and the corresponding covariant derivative with P gauge fields are introduced. The…

General Relativity and Quantum Cosmology · Physics 2009-10-28 C. Wiesendanger

We analyse the asymptotic symmetries of electromagnetism non-minimally coupled to scalar fields, with non-minimal couplings of the Fermi type that occur in extended supergravity models. Our study is carried out at spatial infinity where…

High Energy Physics - Theory · Physics 2024-10-02 Oscar Fuentealba , Marc Henneaux , Jules Mas

The $sp(8, R)$ invariant formulation of free field equations of massless fields of all spins in $AdS_4$ available previously in terms of gauge invariant field strengths is extended to gauge potentials. As a by-product, free field equations…

High Energy Physics - Theory · Physics 2008-11-26 M. A. Vasiliev

We relate the dimensions of $L^p$ reduced cohomology spaces in degree k of an ALE manifold to the dimension of some spaces of decaying harmonic forms, depending both on p and on k. In this class of manifolds, this provides an extension to…

Differential Geometry · Mathematics 2023-05-18 Baptiste Devyver , Klaus Kroencke

We prove a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic hypersurfaces in static vacuum $(n+1)$-dimensional backgrounds with cosmological constant $ \Lambda \in \mathbb{R}$, $n\ge 4$.…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Wan Cong , Piotr T. Chruściel , Finnian Gray

Given a six-dimensional symplectic manifold $(M, B)$, a nondegenerate, co-closed four-form $C$ introduces a dual symplectic structure $\widetilde{B} = *C $ independent of $B$ via the Hodge duality $*$. We show that the doubling of…

High Energy Physics - Theory · Physics 2017-07-26 Hyun Seok Yang

We investigate the interplay of generalized global symmetries in 2+1 dimensions in a lattice model that couples a $\mathbb{Z}_N$ clock model to a $\mathbb{Z}_N$ gauge theory via a topological interaction. This coupling binds the charges of…

Strongly Correlated Electrons · Physics 2025-05-16 Benjamin Moy , Eduardo Fradkin

We study the relation between emergent 1-form symmetries and soft photon theorems in QED. We show that in the relevant massive and massless kinematic regimes, described respectively by HQET and SCET, the soft sector admits electric and…

High Energy Physics - Theory · Physics 2026-04-08 Luigi Tizzano

The asymptotic symmetry group of three-dimensional (anti) de Sitter space is the two dimensional conformal group with central charge $c=3\ell/2G$. Usually the asymptotic charge algebra is derived using the symplectic structure of the bulk…

High Energy Physics - Theory · Physics 2019-03-27 Mariana Carrillo-Gonzalez , Robert F. Penna

Hypertranslations and hyperrotations are asymptotic symmetries of flat space, on top of the familiar supertranslations and superrotations. They were discovered in arXiv:2205.01422 by working in the Special Double Null (SDN) gauge, where…

High Energy Physics - Theory · Physics 2023-01-12 Chethan Krishnan , Jude Pereira

The moduli space of the maximally supersymmetric heterotic string in d-dimensional Minkowski space contains various components characterized by the rank of the gauge symmetries of the vacua they parametrize. We develop an approach for…

High Energy Physics - Theory · Physics 2020-06-16 Hervé Partouche , Balthazar de Vaulchier