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We investigate the relationship between conformal and spin structure on lorentzian manifolds and see how their compatibility influences the formulation of rigid supersymmetric field theories. In dimensions three, four, six and ten, we show…

High Energy Physics - Theory · Physics 2012-09-28 Paul de Medeiros

The Klein-Gordon equation, the Maxwell equation, and the Dirac equation are presented as partial difference equations in the eight-dimensional covariant discrete phase space. These equations are also furnished as difference-differential…

Mathematical Physics · Physics 2010-07-09 A. Das

We show that classical, non-supersymmetric Yang-Mills theories coupled to spin-1/2 and spin-0 elementary matter fields, in (3+1)-dimensional Minkowski space-time, possess exact structures that resemble integrability, with an infinite number…

High Energy Physics - Theory · Physics 2025-11-19 L. A. Ferreira , H. Malavazzi

Massive spin s>=3/2 fields can become partially massless in cosmological backgrounds. In the plane spanned by m^2 and \Lambda, there are lines where new gauge invariances permit intermediate sets of higher helicities, rather than the usual…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

The asymptotic behaviour of massless spin-0 fields close to spatial and null infinity in Minkowski spacetime is studied by means of Friedrich's cylinder at spatial infinity. The results are applied to a system of equations called the…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Edgar Gasperin

Using ambient space we develop a fully gauge and o(d,2) covariant approach to boundary values of AdS(d+1) gauge fields. It is applied to the study of (partially) massless fields in the bulk and (higher-order) conformal scalars, i.e.…

High Energy Physics - Theory · Physics 2015-06-15 Xavier Bekaert , Maxim Grigoriev

In the standard Einstein's theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a single function from which we obtain a metric into a four-dimensional space-time. In this…

General Relativity and Quantum Cosmology · Physics 2024-02-19 J. L. Hernández-Pastora

We observe that the partition function of the set of all free massless higher spins s=0,1,2,3,... in flat space is equal to one: the ghost determinants cancel against the "physical" ones or, equivalently, the (regularized) total number of…

High Energy Physics - Theory · Physics 2015-06-08 M. Beccaria , A. A. Tseytlin

The inclusion of the Weyl squared term in the gravitational action is one of the most simple, yet non trivial modifications to General Relativity at high energies. Nevertheless the study of the spherically-symmetric vacuum solutions of this…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Alfio Bonanno , Samuele Silveravalle , Alessandro Zuccotti

We examine generalized global symmetries as a kind of compactly supported cohomology, and so are led to revisit questions about the locality of quantum field theory, following Segal. Physics naturally suggests a generalization of…

Mathematical Physics · Physics 2025-04-11 Owen Gwilliam

Pure gauge representation for general vacuum background fields (Cartan forms) in the generalized $AdS$ superspace identified with $OSp(L,M)$ is found. This allows us to formulate dynamics of free massless fields in the generalized $AdS$…

High Energy Physics - Theory · Physics 2008-11-26 V. E. Didenko , M. A. Vasiliev

Three-dimensional spacetime with a negative cosmological constant has proven to be a remarkably fertile ground for the study of gravity and higher spin fields. The theory is topological and, since there are no propagating field degrees of…

High Energy Physics - Theory · Physics 2015-06-19 Claudio Bunster , Marc Henneaux , Alfredo Perez , David Tempo , Ricardo Troncoso

We show that, in the framework of Deformed Special Relativity (DSR), namely a (four-dimensional) generalization of the (local) space-time struc- ture based on an energy-dependent "deformation" of the usual Minkowski geometry, two kinds of…

General Physics · Physics 2016-10-31 F. Cardone , R. Mignani , A. Petrucci

We generalize the worldline formalism to include spin 1/2 fields coupled to gravity. To this purpose we first extend dimensional regularization to supersymmetric nonlinear sigma models in one dimension. We consider a finite propagation time…

High Energy Physics - Theory · Physics 2009-11-07 Fiorenzo Bastianelli , Olindo Corradini , Andrea Zirotti

The explicit form of conformal generators is found which provides the extension of Poincare symmetry for massless particles of arbitrary helicity. The helicity 1/2 particles are considered as the particular example. The realization of…

High Energy Physics - Theory · Physics 2020-01-08 Joanna Gonera , Piotr Kosinski , Pawel Maslanka

A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker , C. Wetterich

The relativistic Dirac equation in four-dimensional spacetime reveals a coherent relation between the dimensions of spacetime and the degrees of freedom of fermionic spinors. A massless Dirac fermion generates new symmetries corresponding…

High Energy Physics - Theory · Physics 2017-09-01 Yue-Liang Wu

A classification of the possible symmetric principal bundles with a compact gauge group, a compact symmetry group and a base manifold which is regularly foliated by the orbits of the symmetry group is derived. A generalization of Wang's…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Othmar Brodbeck

We demonstrate in detail how the space of two-dimensional quantum field theories can be parametrized by off-shell states of a free closed string moving in a flat background. The dynamic equation corresponding to the condition of conformal…

High Energy Physics - Theory · Physics 2009-10-28 Gregory Pelts

Totally symmetric arbitrary spin conformal fields propagating in the flat space of even dimension greater than or equal to four are studied. For such fields, we develop a general ordinary-derivative light-cone gauge formalism and obtain…

High Energy Physics - Theory · Physics 2022-09-29 R. R. Metsaev