English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We continue the construction of a Lagrangian description of irreduciblehalf-integer higher-spin representations of the Poincare group with anarbitrary Young tableaux having $k$ rows, on a basis of the BRST--BFV approachsuggested for bosonic fields in our first article (Nucl. Phys. B862 (2012) 270,[arXiv:1110.5044[hep-th]). Starting from a description of fermionicmixed-symmetry higher-spin fields in a flat space of any dimension in terms ofan auxiliary Fock space associated with a special Poincare module, we realize aconversion of the initial operator constraint system (constructed with respectto the relations extracting irreducible Poincare-group representations) into asystem of first-class constraints. To do this, we find, in first time, by meansof generalized Verma module the auxiliary representations of the constraintsubsuperalgebra, to be isomorphic due to Howe duality to $osp(k|2k)$superalgebra, and containing the subsystem of second-class constraints in termsof new oscillator variables. We suggest a universal procedure of findingunconstrained gauge-invariant Lagrangians with reducible gauge symmetries,describing the dynamics of both massless and massive fermionic fields of anyspin. It is shown that the space of BRST cohomologies with a vanishing ghostnumber is determined only by constraints corresponding to an irreduciblePoincare-group representation. As examples of the general approach, we proposea method of Lagrangian construction for fermionic fields subject to anarbitrary Young tableaux having 3 rows, and obtain a gauge-invariant Lagrangianfor a new model of a massless rank-3 spin-tensor field of spin (5/2,3/2) withfirst-stage reducible gauge symmetries and a non-gauge Lagrangian for a massiverank-3 spin-tensor field of spin (5/2,3/2).

General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields