English

Unified formulation for helicity and continuous spin fermionic fields

High Energy Physics - Theory 2018-12-05 v4

Abstract

We propose a unified BRST formulation of general massless fermionic fields of arbitrary mixed-symmetry type in dd-dimensional Minkowski space. Depending on the value of the real parameter the system describes either helicity fields or continuous spin fields. Starting with the unified formulation we derive a number of equivalent descriptions including the triplet formulation, Fang-Fronsdal-Labastida formulation, light-cone formulation and discuss the unfolded formulation.

Keywords

Cite

@article{arxiv.1808.09385,
  title  = {Unified formulation for helicity and continuous spin fermionic fields},
  author = {K. B. Alkalaev and Alexander Chekmenev and Maxim Grigoriev},
  journal= {arXiv preprint arXiv:1808.09385},
  year   = {2018}
}

Comments

v2: exposition of the triplet formulation is improved and the triplet Lagrangian for fermionic helicity fields is made precise, references and acknowledgements added; v4: corrected typos, reference and comments added

R2 v1 2026-06-23T03:46:39.907Z