We perform a class of nonlinear extensions of the reparametrization algebra at arbitrary dimensions. Our extended algebras reproduce in the one-dimensional limit the well-known W-ones. We point out the existence of a family of reparametrization invariant functions for which this property is untouched by the extension procedure. This allows to calculate the improvement of the gravitational anomaly within the extended symmetry.
Nonlinear extensions of the reparametrization algebra: Algebraic construction, invariants and anomalies
BANDELLONI, GIUSEPPE
2012-01-01
Abstract
We perform a class of nonlinear extensions of the reparametrization algebra at arbitrary dimensions. Our extended algebras reproduce in the one-dimensional limit the well-known W-ones. We point out the existence of a family of reparametrization invariant functions for which this property is untouched by the extension procedure. This allows to calculate the improvement of the gravitational anomaly within the extended symmetry.
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