Eleven-Dimensional Gauge Theory for the M Algebra as an Abelian Semigroup Expansion of osp(32|1)

Abstract

A new Lagrangian realizing the symmetry of the M Algebra in eleven-dimensional space-time is presented. By means of the novel technique of Abelian Semigroup Expansion, a link between the M Algebra and the orthosymplectic algebra osp(32|1) is established, and an M Algebra-invariant symmetric tensor of rank six is computed. This symmetric invariant tensor is a key ingredient in the construction of the new Lagrangian. The gauge-invariant Lagrangian is displayed in an explicitly Lorentz-invariant way by means of a subspace separation method based on the extended Cartan homotopy formula.

11 pages, 1 figure. v3: updated notation and terminology; published version

References in corpus (3)

• Expanding Lie (super)algebras through abelian semigroups
• The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory
• Towards a Chern-Simons M theory of $OSp(1|32)\times OSp(1|32)$

Cited by in corpus (11)

• Maxwell Superalgebras and Abelian Semigroup Expansion
• The Extended Cartan Homotopy Formula and a Subspace Separation Method for Chern--Simons Theory
• Three-dimensional exotic Newtonian supergravity theory with cosmological constant
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• First-order perturbations of Gödel-type metrics in non-dynamical Chern-Simons modified gravity
• Three-dimensional Newtonian gravity with cosmological constant and torsion
• Generalized Einstein gravities and generalized AdS symmetries
• Four dimensional topological supergravities from transgression field theory
• Semigroup Expansion and M-Supergravity in Eleven Dimensions
• A note on the Hamiltonian structure of transgression forms
• Gauge-invariant theories and higher-degree forms