Half-integer Higher Spin Fields in (A)dS from Spinning Particle Models

TL;DR

This paper develops a model-based approach to construct higher-spin fermionic fields and their curvatures in (A)dS spaces, generalizing previous integer-spin results to half-integer spins across various dimensions.

Contribution

It introduces spinning particle models to systematically derive higher-spin fermionic curvatures in (A)dS, extending known integer-spin frameworks to half-integer spins and mixed symmetry fields.

Findings

Constructed linearized higher-spin curvatures for half-integer spins in (A)dS.

Generalized integer-spin results to half-integer spins and arbitrary dimensions.

Reduced complex fields to simpler spinor-tensor forms in specific cases.

Abstract

We make use of O(2r+1) spinning particle models to construct linearized higher-spin curvatures in (A)dS spaces for fields of arbitrary half-integer spin propagating in a space of arbitrary (even) dimension: the field potentials, whose curvatures are computed with the present models, are spinor-tensors of mixed symmetry corresponding to Young tableaux with D/2 - 1 rows and r columns, thus reducing to totally symmetric spinor-tensors in four dimensions. The paper generalizes similar results obtained in the context of integer spins in (A)dS.