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Related papers: On Lagrangian Formulation for Spin (2,1,1) Massive…

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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

Given Lorentz invariance in Minkowski spacetime, we investigate a common space of spin and spacetime. To obtain a finite spinor representation of the non-compact homogeneous Lorentz group including Lorentz boosts, we introduce an indefinite…

Quantum Physics · Physics 2009-11-10 Wei Min Jin

We investigate a Lorentz invariant action which is quadratic in two rank-2 symmetric tensor fields in Minkowski spacetime. We apply a scalar-vector-tensor decomposition to two tensor fields by virtue of 3-dimensional rotation-invariance of…

High Energy Physics - Theory · Physics 2021-08-18 Rampei Kimura , Atsushi Naruko , Daisuke Yamauchi

In a previous paper we investigate a Lagrangian field theory for the gravitational field (which is there represented by a section g^a of the orthonormal coframe bundle over Minkowski spacetime. Such theory, under appropriate conditions, has…

Mathematical Physics · Physics 2014-12-15 Roldao da Rocha , Waldyr A. Rodrigues

The massless field of spin 1 is defined on the eight-dimensional configuration space; this space is a direct product of Minkowski space and of a two-dimensional complex sphere. Field equations for the spin-one field are derived from a…

Mathematical Physics · Physics 2011-08-17 V. V. Varlamov

The renormalized mean value of the quantum Lagrangian and the corresponding components of the Energy-Momentum tensor for massive spinor fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Owen Pavel Fernandez Piedra , Alejandro Cabo Montes de Oca

We review our recent exact solution to four-dimensional higher spin gauge theory invariant under a higher spin extension of SO(3,1) and we comment on its cosmological interpretation. We find an effective Einstein-scalar field theory that…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin , P. Sundell

A main purpose of this paper is to explain how the theory of higher spin fields in flat D=4 space and in AdS(4) emerges as a result of the quantization of a superparticle propagating in so called tensorial superspaces which have the…

High Energy Physics - Theory · Physics 2007-05-23 Mikhail Plyushchay , Dmitri Sorokin , Mirian Tsulaia

We present the derivation of a supersymmetric model for fermionic fields with integer valued mass dimension based on a general superfield with one free spinor index. First, we demonstrate that it is impossible to formulate such a model…

High Energy Physics - Theory · Physics 2015-05-20 Kai E. Wunderle , Rainer Dick

The so called "New Massive Gravity" in $D=2+1$ consists of the Einstein-Hilbert action (with minus sign) plus a quadratic term in curvatures ($K$-term). Here we perform the Kaluza-Klein dimensional reduction of the linearized $K$-term to…

High Energy Physics - Theory · Physics 2015-06-18 H. A. Biazotti , D. Dalmazi , G. B. de Gracia

We generalize a family of Lagrangians with values in the Poincar\'e group ISO(d-1,1), which contain the description of spinning strings in flat (d-1)+1 dimensions, by including symmetric terms in the world-sheet coordinates. Then, by…

High Energy Physics - Theory · Physics 2016-08-25 Roberto Casadio , Benjamin Harms

We apply an unconstrained formulation of bosonic higher spin fields to study interactions of these fields with a bosonic field using new method for the deformation procedure. It is proved that local vertices of any order containing one…

High Energy Physics - Theory · Physics 2023-01-18 P. M. Lavrov

We consider the most general form for eleven dimensional supersymmetry compatible with on-shell superfields. This allows for the introduction of a conformal Spin(1,10) connection. In eleven dimensional Minkowski space this modification is…

High Energy Physics - Theory · Physics 2009-10-30 P. S. Howe , N. D. Lambert , P. C. West

We describe a field theory for "massive dual gravity" in N spacetime dimensions. We obtain a Lagrangian that gives the lowest order coupling of the field to the N-dimensional curl of its own energy-momentum tensor. We then briefly discuss…

High Energy Physics - Theory · Physics 2019-10-02 H. Alshal , T. L. Curtright

Constructing a consistent four-dimensional Lagrangian for charged massive higher-spin fields propagating in an electromagnetic background is an open problem. In 1989, Argyres and Nappi used bosonic open string field theory to construct a…

High Energy Physics - Theory · Physics 2022-01-05 Karim Benakli , Nathan Berkovits , Cassiano A. Daniel , Matheus Lize

Dynamics of four-dimensional massless fields of all spins is formulated in the Siegel space of complex $4\times 4$ symmetric matrices. It is shown that the unfolded equations of free massless fields, that have a form of multidimensional…

High Energy Physics - Theory · Physics 2009-10-21 O. A. Gelfond , M. A. Vasiliev

Consistent nontrivial interactions within a special class of covariant mixed-symmetry type tensor gauge fields of degree three are constructed from the deformation of the solution to the master equation combined with specific cohomological…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , I. Negru , S. O. Saliu

Abstract We present the construction of the first-order $D=4$, $\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale…

High Energy Physics - Theory · Physics 2019-11-19 Salih Kibaroğlu , Oktay Cebecioğlu

We generalize, to any space-time dimension, the unitarity bounds of highest weight UIR's of the conformal groups with Lie algebras $so(2,d)$. We classify gauge theories invariant under $so(2,d)$, both integral and half-integral spins. A…

High Energy Physics - Theory · Physics 2016-09-06 S. Ferrara , C. Fronsdal

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

High Energy Physics - Theory · Physics 2017-03-21 Alexander A. Reshetnyak
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