Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-09-07
Lett.Math.Phys.38:321-330,1996
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, latex, no figures. Talk presented at the 4-th Colloquium on "Quantum Groups and Integrable Sysytems", Prague, June 1
Scientific paper
10.1007/BF00398356
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 FDA we associate an extended Lie derivative $\ell$ 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.
Castellani Leonardo
Perotto Alberto
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