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I review some interesting features of massive gravity in two maximally symmetric backgrounds: Anti de Sitter space and Minkowski space. While massive gravity in AdS can be seen as a spontaneously broken, UV safe theory, no such…

High Energy Physics - Theory · Physics 2007-05-23 M. Porrati

Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on an infinite set of 3-algebras, constructed as…

High Energy Physics - Theory · Physics 2009-02-02 Sergio Benvenuti , Diego Rodriguez-Gomez , Erik Tonni , Herman Verlinde

Using Poincare parametrization of AdS space, we study totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four. CFT adapted gauge invariant formulation for such fields is developed. Gauge…

High Energy Physics - Theory · Physics 2009-01-22 R. R. Metsaev

Divergence-free symmetric tensors seem ubiquitous in Mathematical Physics. We show that this structure occurs in models that are described by the so-called "second" variational principle, where the argument of the Lagrangian is a closed…

Analysis of PDEs · Mathematics 2021-09-08 Denis Serre

We present the full list of conserved currents built of two massless spinor fields in Minkowski space and their derivatives multiplied by Clifford algebra elements. The currents have particular mixed-symmetry type described by Young…

High Energy Physics - Theory · Physics 2015-06-05 K. B. Alkalaev

We discuss non-Lorentzian Lagrangian field theories in $2n-1$ dimensions that admit an $SU(1,n)$ spacetime symmetry which includes a scaling transformation. These can be obtained by a conformal compactification of a $2n$-dimensional…

High Energy Physics - Theory · Physics 2022-03-07 Neil Lambert , Rishi Mouland , Tristan Orchard

In this paper we develop the frame-like gauge invariant formulation for the massive two-column bosonic fields in (anti) de Sitter space-times. We begin with the partially massless cases in AdS and dS and then we combine these results into…

High Energy Physics - Theory · Physics 2016-11-23 Yu. M. Zinoviev

We work on a 4-manifold equipped with Lorentzian metric $g$ and consider a volume-preserving diffeomorphism which is the unknown quantity of our mathematical model. The diffeomorphism defines a second Lorentzian metric $h$, the pullback of…

Mathematical Physics · Physics 2021-01-05 Matteo Capoferri , Dmitri Vassiliev

Recently the authors have introduced a new gauged supergravity theory with a positive definite potential in D=6, obtained through a generalised Kaluza-Klein reduction from D=7. Of particular interest is the fact that this theory admits…

High Energy Physics - Theory · Physics 2009-10-07 J. Kerimo , James. T. Liu , H. Lu , C. N. Pope

We develop the idea of local duality symmetry (LDS) in gauge field theories. Using Clifford algebra techniques we construct dually invariant scalar Lagrangian of electrodynamics in the presence of sources and demonstrate that in tensor…

High Energy Physics - Theory · Physics 2020-03-26 Timur Seidov

We illustrate a rigorous approach to express the totally symmetric isotropic tensors of arbitrary rank in the $n$-dimensional Euclidean space as a linear combination of products of Kronecker deltas. By making full use of the symmetries, one…

Mathematical Physics · Physics 2017-01-18 June-Haak Ee , Dong-Won Jung , U-Rae Kim , Jungil Lee

We construct, for the first time, an off-shell supersymmetric continuous spin gauge theory in 4-dimensional Minkowski spacetime, in both constrained and unconstrained Lagrangian formulations. As an extension to the on-shell description [1],…

High Energy Physics - Theory · Physics 2022-02-08 Mojtaba Najafizadeh

In this article, I talk about a model which is known and often used to unify both massless and massive vector free-field theory, discuss the importance of auxiliary scalar field introduced in the Lagrangian density that we consider in this…

General Physics · Physics 2019-03-22 Susobhan Mandal

We consider discrete gauge symmetries in D dimensions arising as remnants of broken continuous gauge symmetries carried by general antisymmetric tensor fields, rather than by standard 1-forms. The lagrangian for such a general ${\bf Z}_p$…

High Energy Physics - Theory · Physics 2015-06-17 Mikel Berasaluce-González , Guillermo Ramírez , Angel M. Uranga

We construct the frame-like gauge-invariant Lagrangian formulation for massive fermionic arbitrary spin fields in three-dimensional $AdS$ space. The Lagrangian and complete set of gauge transformations are obtained. We also develop the…

High Energy Physics - Theory · Physics 2015-06-22 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

We propose a new gauge field theory which is an extension of ordinary string field theory by assembling multiple state spaces of the bosonic string. The theory includes higher spin fields in its massless spectrum together with the infinite…

High Energy Physics - Theory · Physics 2015-06-17 Masako Asano , Mitsuhiro Kato

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily contained in supergravity. The relation with…

High Energy Physics - Theory · Physics 2009-11-19 Bernard de Wit , Hermann Nicolai , Henning Samtleben

Thermal fluctuations of a massive scalar field in the Rindler wedge have been recently obtained. As a by product, the Minkowski vacuum fluctuations seen by a uniformly accelerated observer have been determined and confronted with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Medina

The details of unconstrained Lagrangian formulations (being continuation of earlier developed research for Bose particles in NPB 862 (2012) 270, [arXiv:1110.5044[hep-th]], Phys. of Part. and Nucl. 43 (2012) 689, [arXiv:1202.4710 [hep-th]])…

High Energy Physics - Theory · Physics 2021-04-06 Alexander A. Reshetnyak

Covariant forms are given to a gauge theory of massive tensor field. This is accomplished by introducing another auxiliary field of scalar type to the system composed of a symmetric tensor field and an auxiliary field of vector type. The…

High Energy Physics - Theory · Physics 2009-10-30 Shinji Hamamoto