Generating higher-order Lie algebras by expanding Maurer-Cartan forms

Journal Article · Mon Dec 14 23:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3272997· OSTI ID:21294533

Caroca, R ^[1]; Merino, N; Salgado, P ^[1]; Perez, A ^[1]

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1. Departamento de Fisica, Universidad de Concepcion, Casilla 160-C, Concepcion (Chile)

By means of a generalization of the Maurer-Cartan expansion method, we construct a procedure to obtain expanded higher-order Lie algebras. The expanded higher-order Maurer-Cartan equations for the case G=V{sub 0}+V{sub 1} are found. A dual formulation for the S-expansion multialgebra procedure is also considered. The expanded higher-order Maurer-Cartan equations are recovered from S-expansion formalism by choosing a special semigroup. This dual method could be useful in finding a generalization to the case of a generalized free differential algebra, which may be relevant for physical applications in, e.g., higher-spin gauge theories.

• OSTI ID: 21294533
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
EQUATIONS
GAUGE INVARIANCE
GROUP THEORY
LIE GROUPS
QUANTUM FIELD THEORY
SPIN