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

作者：Moshin Pavel Yu^*; Reshetnyak Alexander A

来源：The Journal of High Energy Physics, 2007, (10): 040.

• field theories in higher dimensions
• BRST symmetry
• space-time symmetries
• gauge symmetry

We construct a Lagrangian description of irreducible half-integer higher- spin representations of the Poincare group with the c or re spondin g You ng tableaux having two rows,on a basis of the BRST approach.Starting with a description offer mionic higher-spinfields in a flatspace of any dimension in terms of an auxiliary Fockspace,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 sub super algebra 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.Noor-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 llustrate the general construction, we obtaina 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.

• 出版日期2007-10