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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

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

Two different massive gauge invariant spin-one theories in $3+1$ dimensions, one Stuckelberg formulation and the other `$B^{\wedge}F$' theory, with Kalb-Ramond field are shown to be related by duality. This is demonstrated by gauging the…

High Energy Physics - Theory · Physics 2009-10-30 E. Harikumar , M. Sivakumar

We construct a concise gauge invariant formulation for massless, partially massless, and massive bosonic AdS fields of arbitrary symmetry type at the level of equations of motion. Our formulation admits two equivalent descriptions: in terms…

High Energy Physics - Theory · Physics 2011-09-20 K. B. Alkalaev , Maxim Grigoriev

In this paper we give explicit gauge invariant Lagrangian formulation for massive theories based on mixed symmetry tensors \Phi_{[\mu\nu],\alpha}, T_{[\mu\nu\alpha],\beta} and R_{[\mu\nu],[\alpha\beta]} both in Minkowski as well as in…

High Energy Physics - Theory · Physics 2007-05-23 Yu. M. Zinoviev

The theory including interaction between Siegel and gauge multiplets leads to the model of nonbreaking supersymmetry which contains massive scalar, four component fermion and gauge fields. The upper bound of Higgs boson mass is estimated as…

High Energy Physics - Theory · Physics 2016-09-06 Andrei M. Sukhov

Certain quantum topological invariants of three manifolds can be written in the form of the Gaussian sum. It is shown that such topological invariants can be approximated efficiently by a quantum computer. The invariants discussed here are…

Quantum Physics · Physics 2009-03-11 K. Shiokawa

We consider a U(1) x SU(2) gauge theory on the four-dimensional manifold S^1 x S^3. If we make the assumption that only gauge transformations connected to the identity are allowed, the winding numbers of U(1) around S^1 and of SU(2) around…

High Energy Physics - Phenomenology · Physics 2016-09-06 Stefan Weinzierl

The role of the gauge invariance in noncommutative field theory is discussed. A basic introduction to noncommutative geometry and noncommutative field theory is given. Background invariant formulation of Wilson lines is proposed. Duality…

High Energy Physics - Theory · Physics 2007-05-23 Corneliu Sochichiu

We propose a mechanism to give mass to tensor matter field which preserve the U(1) symmetry. We introduce a complex vector field that couples with the tensor in a topological term. We also analyze the influence of the kinetic terms of the…

High Energy Physics - Theory · Physics 2011-07-19 L. Gonzaga , M. S. Cunha , R. R. Landim

We give explicit construction for massive higher spin supermultiplets for the case of minimal supersymmetry in d=3 and find the corresponding Lagrangian formulations. We show that all such massive supermultiplets can be straightforwardly…

High Energy Physics - Theory · Physics 2015-10-02 I. L. Buchbinder , T. V. Snegirev , Yu. M. Zinoviev

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

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

The effective action of string theory in three dimensions is investigated, incorporating the Lorentz and gauge Chern-Simons terms in the definition of the Kalb-Ramond axion field strength. Since in three dimensions any three-form is…

High Energy Physics - Theory · Physics 2009-10-22 Nemanja Kaloper

For a special value of the mass, a massive graviton on de Sitter space acquires an enhanced scalar gauge symmetry, and is called partially massless. The partially massless graviton possesses a duality invariance akin to electromagnetic…

High Energy Physics - Theory · Physics 2026-05-28 Kurt Hinterbichler

An Abelian gauge theory describing dynamics of massive spin one bosons is constructed. This is achieved by appending to the Maxwell action, a gauge invariant mass term. The theory is quantised in temporal as well as Lorentz gauge, and the…

High Energy Physics - Theory · Physics 2016-01-27 Vivek M. Vyas , V. Srinivasan

We study the system of self-dual Maxwell field coupled to 3D gravity with torsion, with Maxwell field modified by a topological mass term. General structure of the field equations reveals a new, dynamical role of the classical central…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Blagojević , B. Cvetković

We present a general analysis of gauge invariant, exact and metric independent forms which can be constructed using higher rank field-strength tensors. The integrals of these forms over the corresponding space-time coordinates provides new…

High Energy Physics - Theory · Physics 2014-01-27 Ignatios Antoniadis , George Savvidy

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 develop a method for finding the independent invariant tensors of a gauge theory. Our method uses a theorem relating invariant tensors and constant configurations in field space. We apply our method to an $SU(3)$ gauge theory with matter…

High Energy Physics - Theory · Physics 2022-11-23 Arvind Rajaraman