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Yu M Zinoviev - One of the best experts on this subject based on the ideXlab platform.
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Lagrangian formulation for the infinite spin n 1 supermultiplets in d 4
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We provide an explicit Lagrangian construction for the massless infinite spin N = 1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.
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Lagrangian formulation of the massive higher spin n 1 supermultiplets in ads4 space
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We give an explicit component Lagrangian construction of massive higher spin on-shell N = 1 supermultiplets in four-dimensional Anti-de Sitter space A d S 4 . We use a frame-like gauge invariant description of massive higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two massive bosonic and two massive fermionic fields we derive the supertransformations leaving the sum of four their free Lagrangians invariant such that the algebra of these supertransformations is closed on-shell.
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gauge invariant Lagrangian formulation of massive higher spin fields in a ds 3 space
Physics Letters B, 2012Co-Authors: Ioseph L. Buchbinder, T V Snegirev, Yu M ZinovievAbstract:Abstract We develop the frame-like formulation of massive bosonic higher spin fields in the case of three-dimensional ( A ) dS space with the arbitrary cosmological constant. The formulation is based on gauge invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.
Ioseph L. Buchbinder - One of the best experts on this subject based on the ideXlab platform.
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Lagrangian formulation for the infinite spin n 1 supermultiplets in d 4
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We provide an explicit Lagrangian construction for the massless infinite spin N = 1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.
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Lagrangian formulation of the massive higher spin n 1 supermultiplets in ads4 space
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We give an explicit component Lagrangian construction of massive higher spin on-shell N = 1 supermultiplets in four-dimensional Anti-de Sitter space A d S 4 . We use a frame-like gauge invariant description of massive higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two massive bosonic and two massive fermionic fields we derive the supertransformations leaving the sum of four their free Lagrangians invariant such that the algebra of these supertransformations is closed on-shell.
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gauge invariant Lagrangian formulation of massive higher spin fields in a ds 3 space
Physics Letters B, 2012Co-Authors: Ioseph L. Buchbinder, T V Snegirev, Yu M ZinovievAbstract:Abstract We develop the frame-like formulation of massive bosonic higher spin fields in the case of three-dimensional ( A ) dS space with the arbitrary cosmological constant. The formulation is based on gauge invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.
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gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in ads space
Nuclear Physics, 2007Co-Authors: Ioseph L. Buchbinder, V A Krykhtin, Peter M LavrovAbstract:Abstract In this work we develop the BRST approach to Lagrangian construction for the massive integer higher spin fields in an arbitrary dimensional AdS space. The theory is formulated in terms of auxiliary Fock space. Closed nonlinear symmetry algebra of higher spin bosonic theory in AdS space is found and a method of deriving the BRST operator for such an algebra is proposed. A general procedure of Lagrangian construction, describing the dynamics of a bosonic field with any spin is given on the base of the BRST operator. No off-shell constraints on the fields and the gauge parameters are used from the very beginning. As an example of general procedure, we derive the Lagrangians for massive bosonic fields with spin 0, 1 and 2, containing the total set of auxiliary fields and gauge symmetries.
T V Snegirev - One of the best experts on this subject based on the ideXlab platform.
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Lagrangian formulation for the infinite spin n 1 supermultiplets in d 4
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We provide an explicit Lagrangian construction for the massless infinite spin N = 1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.
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Lagrangian formulation of the massive higher spin n 1 supermultiplets in ads4 space
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We give an explicit component Lagrangian construction of massive higher spin on-shell N = 1 supermultiplets in four-dimensional Anti-de Sitter space A d S 4 . We use a frame-like gauge invariant description of massive higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two massive bosonic and two massive fermionic fields we derive the supertransformations leaving the sum of four their free Lagrangians invariant such that the algebra of these supertransformations is closed on-shell.
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gauge invariant Lagrangian formulation of massive higher spin fields in a ds 3 space
Physics Letters B, 2012Co-Authors: Ioseph L. Buchbinder, T V Snegirev, Yu M ZinovievAbstract:Abstract We develop the frame-like formulation of massive bosonic higher spin fields in the case of three-dimensional ( A ) dS space with the arbitrary cosmological constant. The formulation is based on gauge invariant description by involving the Stueckelberg auxiliary fields. The explicit form of the Lagrangians and the gauge transformation laws are found. The theory can be written in terms of gauge invariant objects similar to the massless theories, thus allowing us to hope to use the same methods for investigation of interactions. In the massive spin 3 field example we are able to rewrite the Lagrangian using the new the so-called separated variables, so that the study of Lagrangian formulation reduces to finding the Lagrangian containing only half of the fields. The same construction takes places for arbitrary integer spin field as well. Further working in terms of separated variables, we build Lagrangian for arbitrary integer spin and write it in terms of gauge invariant objects. Also, we demonstrate how to restore the full set of variables, thus receiving Lagrangian for the massive fields of arbitrary spin in the terms of initial fields.
M V Khabarov - One of the best experts on this subject based on the ideXlab platform.
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Lagrangian formulation for the infinite spin n 1 supermultiplets in d 4
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We provide an explicit Lagrangian construction for the massless infinite spin N = 1 supermultiplet in four dimensional Minkowski space. Such a supermultiplet contains a pair of massless bosonic and a pair of massless fermionic infinite spin fields with properly adjusted dimensionful parameters. We begin with the gauge invariant Lagrangians for such massless infinite spin bosonic and fermionic fields and derive the supertransformations which leave the sum of their Lagrangians invariant. It is shown that the algebra of these supertransformations is closed on-shell.
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Lagrangian formulation of the massive higher spin n 1 supermultiplets in ads4 space
Nuclear Physics, 2019Co-Authors: T V Snegirev, Yu M Zinoviev, Ioseph L. Buchbinder, M V KhabarovAbstract:Abstract We give an explicit component Lagrangian construction of massive higher spin on-shell N = 1 supermultiplets in four-dimensional Anti-de Sitter space A d S 4 . We use a frame-like gauge invariant description of massive higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two massive bosonic and two massive fermionic fields we derive the supertransformations leaving the sum of four their free Lagrangians invariant such that the algebra of these supertransformations is closed on-shell.
I L Buchbinder - One of the best experts on this subject based on the ideXlab platform.
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general Lagrangian formulation for higher spin fields with arbitrary index symmetry 2 fermionic fields
Nuclear Physics, 2012Co-Authors: I L Buchbinder, A. A. ReshetnyakAbstract: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 bosonic fields in our first article [I.L. Buchbinder, A. Reshetnyak, Nucl. Phys. B 862 (2012) 270, arXiv:1110.5044 [hep-th]]. Starting from a description of fermionic mixed-symmetry higher-spin fields in a flat space of any dimension in terms of an auxiliary Fock space associated with a special Poincare module, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincare-group representations) into a system of first-class constraints. To do this, we find, in first time, by means of generalized Verma module the auxiliary representations of the constraint subsuperalgebra, to be isomorphic due to Howe duality to osp(k|2k) superalgebra, and containing the subsystem of second-class constraints in terms of new oscillator variables. We suggest a universal procedure of finding unconstrained gauge-invariant Lagrangians with reducible gauge symmetries, describing the dynamics of both massless and massive fermionic fields of any spin. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by constraints corresponding to an irreducible Poincare-group representation. As examples of the general approach, we propose a method of Lagrangian construction for fermionic fields subject to an arbitrary Young tableaux having 3 rows, and obtain a gauge-invariant Lagrangian for a new model of a massless rank-3 spin-tensor field of spin (5/2,3/2) with first-stage reducible gauge symmetries and a non-gauge Lagrangian for a massive rank-3 spin-tensor field of spin (5/2,3/2).
