English

Higher-spin charges in Hamiltonian form. II. Fermi fields

High Energy Physics - Theory 2017-03-08 v2 General Relativity and Quantum Cosmology

Abstract

We build the asymptotic higher-spin charges associated with "improper" gauge transformations for fermionic higher-spin gauge fields on Anti de Sitter backgrounds of arbitrary dimension. This is achieved within the canonical formalism. We consider massless fields of spin s+1/2, described by a symmetric spinor-tensor of rank s in the Fang-Fronsdal approach. We begin from a detailed analysis of the spin 5/2 example, for which we cast the Fang-Fronsdal action in Hamiltonian form, we derive the charges and we propose boundary conditions on the canonical variables that secure their finiteness. We then extend the computation of charges and the characterisation of boundary conditions to arbitrary half-integer spin. Our construction generalises to higher-spin fermionic gauge fields the known Hamiltonian derivation of supercharges in AdS supergravity.

Keywords

Cite

@article{arxiv.1701.05526,
  title  = {Higher-spin charges in Hamiltonian form. II. Fermi fields},
  author = {Andrea Campoleoni and Marc Henneaux and Sergio Hörtner and Amaury Leonard},
  journal= {arXiv preprint arXiv:1701.05526},
  year   = {2017}
}

Comments

42 pages. References added; version to appear in JHEP

R2 v1 2026-06-22T17:54:27.083Z