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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

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

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian…

High Energy Physics - Theory · Physics 2009-06-19 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

Some puzzling aspects of higher spin field theory in Minkowski space-time, such as the tracelessness constraints and the search for an underlying physical principle, are discussed. A connecting idea might be provided by the recently much…

High Energy Physics - Theory · Physics 2015-06-15 Anders K. H. Bengtsson

We develop the BRST approach to gauge invariant Lagrangian construction for the massive mixed symmetry integer higher spin fields described by the rank-two Young tableaux in arbitrary dimensional Minkowski space. The theory is formulated in…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , H. Takata

We review the details of unconstrained Lagrangian formulations for Bose particles propagated on an arbitrary dimensional flat space-time and described by the unitary irreducible integer higher-spin representations of the Poincare group…

High Energy Physics - Theory · Physics 2012-07-26 Alexander A. Reshetnyak

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a…

High Energy Physics - Theory · Physics 2018-10-25 Alexander A. Reshetnyak

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

High Energy Physics - Theory · Physics 2016-01-27 I. L. Buchbinder , K. Koutrolikos

The spectrum of superstring theory on the $AdS_5 \times S_5$ Ramond-Ramond background in tensionless limit contains integer and half-integer higher-spin fields subject at most to two-rows Young tableaux $Y(s_1,s_2)$. We review the details…

High Energy Physics - Theory · Physics 2010-12-07 Alexander A. Reshetnyak

In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N=1 supermultiplets containing partially massless fields in…

High Energy Physics - Theory · Physics 2019-10-02 I. L. Buchbinder , M. V. Khabarov , T. V. Snegirev , Yu. M. Zinoviev

The details of Lagrangian description of irreducible integer higher-spin representations of the Poincare group with an Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ having $2$ columns are considered for Bose particles propagated on an arbitrary…

High Energy Physics - Theory · Physics 2014-12-11 Alexander A. Reshetnyak

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories…

High Energy Physics - Theory · Physics 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

Using Poincare parametrization of AdS space, we study massive totally symmetric arbitrary spin 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 2010-03-02 R. R. Metsaev

The key aspects of a gauge-invariant Lagrangian description of massive and massless half-integer higher-spin fields in AdS spaces with a two-row Young tableaux $Y(s_1,s_2)$ are presented in an unconstrained description, as well as in…

High Energy Physics - Theory · Physics 2008-10-03 A. A. Reshetnyak

We study a possibility of Lagrangian formulation for free higher spin bosonic totally symmetric tensor field on the background manifold characterizing by the arbitrary metric, vector and third rank tensor fields in framework of BRST…

High Energy Physics - Theory · Physics 2011-06-15 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

We review the recently developed general gauge invariant approach to Lagrangian construction for massive higher spin fields in Minkowski and AdS spaces of arbitrary dimension. Higher spin Lagrangian, describing the dynamics of the fields…

High Energy Physics - Theory · Physics 2007-12-11 I. L. Buchbinder , V. A. Krykhtin

Motivated by construction of isospin generators in particle physics (built form the SU(2) algebra), we find an equivalence between the algebra of these generators and those of the Virasoro algebra. The form of the starting generators is…

High Energy Physics - Theory · Physics 2008-09-26 J. Alfaro , M. Cambiaso

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

We continue the construction of a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with an arbitrary Young tableaux having $k$ rows, on a basis of the BRST--BFV approach suggested for…

High Energy Physics - Theory · Physics 2025-02-18 Alexander A. Reshetnyak

In this paper we consider the frame-like formulation for the so called infinite (continuous) spin representations of the Poincare algebra. In the three dimensional case we give explicit Lagrangian formulation for bosonic and fermionic…

High Energy Physics - Theory · Physics 2017-11-16 Yu. M. Zinoviev