BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields

Details BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields

2007-07-03

arxiv.org/abs/0707.0386v5

JHEP 0710:040,2007

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, no figures, corrected typos, updated abstract and introduction, corrected formula (7.8), added formula (5.36) and fo

Scientific paper

10.1088/1126-6708/2007/10/040

We construct a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with the corresponding Young tableaux having two rows, on a basis of the BRST approach. Starting with a description of fermionic higher-spin fields in a flat space of any dimension in terms of an auxiliary Fock space, we realize a conversion of the initial operator constraint system (constructed with respect to the relations extracting irreducible Poincare-group representations) into a first-class constraint system. For this purpose, we find auxiliary representations of the constraint subsuperalgebra containing the subsystem of second-class constraints in terms of Verma modules. We propose a universal procedure of constructing gauge-invariant Lagrangians with reducible gauge symmetries describing the dynamics of both massless and massive fermionic fields of any spin. No off-shell constraints for the fields and gauge parameters are used from the very beginning. It is shown that the space of BRST cohomologies with a vanishing ghost number is determined only by the constraints corresponding to an irreducible Poincare-group representation. To illustrate the general construction, we obtain a Lagrangian description of fermionic fields with generalized spin (3/2,1/2) and (3/2,3/2) on a flat background containing the complete set of auxiliary fields and gauge symmetries.

Affiliated with

Also associated with

No associations

Rating

BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-179230