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We review the construction of Lagrangians for higher spin fields of mixed symmetry in the framework of graded geometry. The main advantage of the graded formalism in this context is that it provides universal expressions, in the sense that…

High Energy Physics - Theory · Physics 2024-06-11 Athanasios Chatzistavrakidis , Georgios Karagiannis , Peter Schupp

We study the interaction of gauge fields of arbitrary integer spins with the constant electromagnetic field. We reduce the problem of obtaining the gauge-invariant Lagrangian of integer spin fields in the external field to purely algebraic…

High Energy Physics - Theory · Physics 2009-10-31 S. M. Klishevich

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

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

In the context of planar conformal gauge theory, we study five-point correlation functions between the interaction Lagrangian and four of the lightest single-trace, gauge-invariant scalar primaries. After performing two light-cone OPEs, we…

High Energy Physics - Theory · Physics 2025-04-16 Till Bargheer , Carlos Bercini , Bruno Fernandes , Vasco Gonçalves , Jeremy Mann

Effective actions are derived for (2,0) and (2,1) superstrings by studying the corresponding sigma-models. The geometry is a generalisation of Kahler geometry involving torsion and the field equations imply that the curvature with torsion…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

We have discovered two unconstrained forms of free Lagrangian for continuous spin(CS) theory in arbitrary flat spacetime dimension for bosonic case. These Lagrangians, unlike that by Schuster and Toro, do not include delta functions and are…

High Energy Physics - Theory · Physics 2024-07-08 Hiroyuki Takata

We provide a systematic analysis of three-dimensional N = 2 extended Bargmann superalgebra and its Newton-Hooke, Lifshitz and Schr\"odinger extensions. These algebras admit invariant non-degenerate bi-linear forms which we utilized to…

High Energy Physics - Theory · Physics 2019-11-15 Nese Ozdemir , Mehmet Ozkan , Utku Zorba

A nonlocal mass operator can be consistently set in local form through the introduction of a set of additional fields with geometrical appropriated properties. A local and polynomial gauge invariant action is thus identified. Equations…

High Energy Physics - Theory · Physics 2020-05-13 A. R. de Sá , M. A. L. Capri , V. E. R. Lemes

We suggest an extension of the gauge principle which includes tensor gauge fields. The extended non-Abelian gauge transformations of the tensor gauge fields form a new large group. On this group one can define field strength tensors, which…

High Energy Physics - Theory · Physics 2009-11-11 George Savvidy

We present generic form of the covariant nonlocal action for infrared modifications of Einstein theory recently suggested within the weak-field curvature expansion. In the lowest order it is determined by two nonlocal operators -- kernels…

High Energy Physics - Theory · Physics 2009-11-11 A. O. Barvinsky

We demonstrate that pure space-like axial gauge quantizations of gauge fields can be constructed in ways which are free from infrared divergences. We begin by constructing an axial gauge formulation in auxiliary coordinates:…

High Energy Physics - Theory · Physics 2009-10-31 Y. Nakawaki , G. McCartor

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

The n-dimensional extension of the one dimensional Position-dependent mass (PDM) Lagrangians under the nonlocal point transformations by Mustafa <cite>38</cite> is introduced. The invariance of the n-dimensional PDM Euler-Lagrange equations…

Mathematical Physics · Physics 2019-04-09 Omar Mustafa

A recent progress in a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS and Minkowski spaces is presented. The procedure is based on a BFV-BRST operator, encoding the initial conditions…

High Energy Physics - Theory · Physics 2007-12-01 Alexander A. Reshetnyak

A model of spontaneous Lorentz violation in four dimension is given, which seems to provide a Lorentz invariant effective theory. An SU(2) Yang-Mills gauge field and an auxiliary U(1) vector field generate gravity and other interactions…

General Physics · Physics 2021-03-31 Kimihide Nishimura

We gauge the abelian hierarchy of tensor fields in 4D by a Lie algebra. The resulting non-abelian tensor hierarchy can be interpreted via an equivariant chain complex. We lift this structure to N=1 superspace by constructing superfield…

High Energy Physics - Theory · Physics 2016-06-27 Katrin Becker , Melanie Becker , William D. Linch , Daniel Robbins

It is shown that the Stelle-West Grignani-Nardelli-formalism allows, both when odd dimensions and when even dimensions are considered, constructing actions for higher dimensional gravity invariant under local Lorentz rotations and under…

General Relativity and Quantum Cosmology · Physics 2009-02-11 P. Salgado , M. Cataldo , S. del Campo

Unfolded equations of motion for symmetric massive bosonic fields of any spin in Minkowski and (A)dS spaces are presented. Manifestly gauge invariant action for a spin $s \ge 2$ massive field in any dimension is constructed in terms of…

High Energy Physics - Theory · Physics 2011-09-07 D. S. Ponomarev , M. A. Vasiliev

In the first part of this paper, we work out a perturbative Lagrangian formulation of semistrict higher gauge theory, that avoids the subtleties of the relationship between Lie 2-groups and algebras by relying exclusively on the structure…

High Energy Physics - Theory · Physics 2012-11-13 Roberto Zucchini