Free Differential Algebras: Their Use in Field Theory and Dual Formulation

Leonardo Castellani, Alberto Perotto

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

The gauging of free differential algebras (FDA's) produces gauge field theories containing antisymmetric tensors. The FDA's extend the Cartan-Maurer equations of ordinary Lie algebras by incorporating p-form potentials (p > 1). We study here the algebra of FDA transformations. To every p-form in the PDA, we associate an extended Lie derivative ℓ generating a corresponding 'gauge' transformation. The field theory based on the FDA is invariant under these new transformations. This gives geometrical meaning to the antisymmetric tensors. The algebra of Lie derivatives is shown to close and provides the dual formulation of FDA's.

Lingua originaleInglese
pagine (da-a)321-330
Numero di pagine10
RivistaLetters in Mathematical Physics
Volume38
Numero di pubblicazione3
DOI
Stato di pubblicazionePubblicato - 1996
Pubblicato esternamente

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