Eleven-dimensional gauge theory for the M-algebra as an Abelian semigroup expansion of

F. Izaurieta; E. Rodríguez; P. Salgado

doi:10.1140/epjc/s10052-008-0540-7

EPJ

Eleven-dimensional gauge theory for the M-algebra as an Abelian semigroup expansion of

F. Izaurieta¹^,2, E. Rodríguez¹^,2 and P. Salgado²^*

¹ Departamento de Matemáticas y Física Aplicadas, Universidad Católica de la Santísima Concepción, Concepción, Chile
² Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, Chile

Received: 29 December 2006
Revised: 30 August 2007
Published online: 7 February 2008

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

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.

23rd International Summer School on Vacuum, Electron, and Ion Technologies (VEIT)
18-22 September 2023
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EPJ

Eleven-dimensional gauge theory for the M-algebra as an Abelian semigroup expansion of

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