On the underlying gauge group structure of D = 11 supergravity
Abstract
The underlying gauge group structure of D = 11 supergravity is revisited. It may be described by a oneparametric family of Lie supergroups Σ∼ (s) × ⊃ SO (1, 10), s ≠ 0. The family of superalgebras E∼ (s) associated to Σ∼ (s) is given by a family of extensions of the Malgebra {P_{a},Q_{α},Z_{ab},Z_{a1 ⋯a5} } by an additional fermionic central charge Q_{α}^{‧}. The ChevalleyEilenberg fourcocycle ω_{4} ∼Π^{α} ∧Π^{β} ∧Π^{a} ∧Π^{b}Γ_{abαβ} on the standard D = 11 supersymmetry algebra may be trivialized on E∼ (s), and this implies that the threeform field A_{3} of D = 11 supergravity may be expressed as a composite of the Σ∼ (s) oneform gauge fields e^{a}, ψ^{α}, B^{ab}, Ba_{1}^{⋯a5} and η^{α}. Two superalgebras of E∼ (s) recover the two earlier D'Auria and Fré decompositions of A_{3}. Another member of E∼ (s) allows for a simpler composite structure for A_{3} that does not involve the Ba_{1}^{⋯a5} field. Σ∼ (s) is a deformation of Σ∼ (0), which is singularized by having an enhanced Sp (32) (rather than just SO (1, 10)) automorphism symmetry and by being an expansion of OSp (1  32).
 Publication:

Physics Letters B
 Pub Date:
 August 2004
 DOI:
 10.1016/j.physletb.2004.06.079
 arXiv:
 arXiv:hepth/0406020
 Bibcode:
 2004PhLB..596..145B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 16 pages, no figures