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

[en] 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.

Research center :

AGIF - Algèbre, Géométrie et Interactions fondamentales

Disciplines :

Physics

Author, co-author :

Campoleoni, Andrea ; Université de Mons > Faculté des Sciences > Physique théorique et mathématique

Henneaux, Marc

Hortner, Sergio

Leonard, Amaury

Language :

English

Title :

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

Publication date :

10 February 2017

Journal title :

Journal of High Energy Physics

ISSN :

1126-6708

Publisher :

Springer, Heidelberg, Germany

Volume :

1702

Issue :

058

Pages :

1-38

Peer reviewed :

Peer Reviewed verified by ORBi

Research unit :

S814 - Physique théorique et mathématique

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Available on ORBi UMONS :

since 25 April 2017

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