English

Fermionic fields in the d-dimensional anti-de Sitter spacetime

High Energy Physics - Theory 2009-10-31 v1

Abstract

Arbitrary spin free massless fermionic fields corresponding to mixed symmetry representations of the \hbox{SO(d1)SO(d-1)} compact group and propagating in even dd-dimensional anti-de Sitter spacetime are investigated. Free wave equations of motion, subsidiary conditions and the corresponding gauge transformations for such fields are proposed. The lowest eigenvalues of the energy operator for the massless fields and the gauge parameter fields are derived. The results are formulated in SO(d1,2)SO(d-1,2) covariant form as well as in terms of intrinsic coordinates.

Keywords

Cite

@article{arxiv.hep-th/9802097,
  title  = {Fermionic fields in the d-dimensional anti-de Sitter spacetime},
  author = {R. R. Metsaev},
  journal= {arXiv preprint arXiv:hep-th/9802097},
  year   = {2009}
}

Comments

12 pages, LaTeX