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Higher-spin theories are most commonly modelled on the example of spin 2. While this is appropriate for the description of free irreducible spin-s particles, alternative options could be equally interesting. In particular Maxwell's…

High Energy Physics - Theory · Physics 2015-05-27 Dario Francia

N-extended massless arbitrary integer and half-integer spin supermultiplets in four dimensional flat space are studied in the framework of light-cone gauge formalism. For such multiplets, by using light-cone momentum superspace, we build…

High Energy Physics - Theory · Physics 2020-01-08 R. R. Metsaev

We reformulate the Bagger-Lambert-Gustavsson model using an N=8 superspace, thus making the full supersymmetry manifest. The formulation is based on appropriate "pure spinor wave functions" for the Chern-Simons and matter multiplets. The…

High Energy Physics - Theory · Physics 2009-12-07 Martin Cederwall

We show that the parent Lagrangian method gives a natural generalization of the dual theories concept for non p-form fields. Using this generalization we construct here a three-parameter family of Lagrangians that are dual to the…

High Energy Physics - Theory · Physics 2009-11-07 H. Casini , R. Montemayor , Luis F. Urrutia

We propose a method of construction of a cubic interaction in massless Higher Spin gauge theory both in flat and in AdS space-times of arbitrary dimensions. We consider a triplet formulation of the Higher Spin gauge theory and generalize…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Fotopoulos , A. C. Petkou , M. Tsulaia

We show that all spin groups of non-definite, quinary quadratic forms over a field with characteristic 0 can be represented as 2 by 2 matrices with entries in an associated quaternion algebra. Over local and global fields, we further study…

Number Theory · Mathematics 2019-09-30 Arseniy Sheydvasser

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

We derive the Lagrangian for a new model of a massive rank-4 tensor field with generalized spin (2,1,1) in Minkowski spacetime of any dimension d>5, by using dimensional reduction applied to a reducible gauge model of a massless rank-4…

High Energy Physics - Theory · Physics 2015-06-15 A. A. Reshetnyak , P. Yu. Moshin

A Poincare invariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin s > 1/2 in four-dimensional Minkowski space. By making use of this Lagrange…

Mathematical Physics · Physics 2013-11-05 D. S. Kaparulin , S. L. Lyakhovich , A. A. Sharapov

SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of…

High Energy Physics - Theory · Physics 2010-11-19 A. M. Khvedelidze , H. -P. Pavel

We give a detailed review of the construction of gauge invariant Lagrangians for free and interacting higher spin fields using the BRST approach developed over the past few years.

High Energy Physics - Theory · Physics 2009-02-09 A. Fotopoulos , M. Tsulaia

We introduce the orthogonal Grassmannian as a novel kinematic space for describing correlators of massless spinning fields in de Sitter space. By automatically encoding the constraints of conformal symmetry and current conservation, the…

High Energy Physics - Theory · Physics 2026-02-10 Mattia Arundine , Daniel Baumann , Mang Hei Gordon Lee , Guilherme L. Pimentel , Facundo Rost

Using the complex Klein-Gordon field as a model, we quantize the quaternionic scalar field in the real Hilbert space. The lagrangian formulation has accordingly been obtained, as well as the hamiltonian formulation, and the energy and…

Quantum Physics · Physics 2022-07-13 Sergio Giardino

A Poincar\'e covariant Lagrange anchor is found for the non-Lagrangian relativistic wave equations of Bargmann and Wigner describing free massless fields of spin $s>1/2$ in four-dimensional Minkowski space. By making use of this Lagrange…

High Energy Physics - Theory · Physics 2012-04-13 Dmitry S. Kaparulin , Simon L. Lyakhovich , Alexey A. Sharapov

The BRST approach is applied to the description of irreducible massless higher spins representations of the Poincare group in arbitrary dimensions. The total system of constraints in such theory includes both the first and the second class…

High Energy Physics - Theory · Physics 2009-10-31 A. Pashnev , M. Tsulaia

Using BRST-BV approach, massless and massive continuous-spin fields propagating in the flat space are studied. For such fields, BRST-BV gauge invariant Lagrangian is obtained. The Lagrangian and gauge transformations are constructed out of…

High Energy Physics - Theory · Physics 2018-06-05 R. R. Metsaev

We use a description based on differential forms to systematically explore the space of scalar-tensor theories of gravity. Within this formalism, we propose a basis for the scalar sector at the lowest order in derivatives of the field and…

High Energy Physics - Theory · Physics 2016-07-07 Jose María Ezquiaga , Juan García-Bellido , Miguel Zumalacárregui

We explore a new possibility of BRST construction in higher spin field theory to obtain a consistent Lagrangian for massive spin-2 field in Einstein space. Such approach automatically leads to gauge invariant Lagrangian with suitable…

High Energy Physics - Theory · Physics 2010-05-12 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

We show that the Grassmannian independence of the super Lagrangian density, expressed in terms of the superfields defined on a (4, 2)-dimensional supermanifold, is a clear-cut proof for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST…

High Energy Physics - Theory · Physics 2015-05-13 R. P. Malik , B. P. Mandal

Massive dual spin zero fields are reconsidered in four spacetime dimensions. A closed-form Lagrangian is presented that describes a field coupled to the gradient of its own energy-momentum tensor.

High Energy Physics - Theory · Physics 2020-01-08 Thomas Curtright