On an extension of General Coordinate Transformations Algebra
Giuseppe Bandelloni (Genoa University, INFN Genoa)
TL;DR
This paper develops an extended algebra for general coordinate transformations, deriving infinite invariants and extending gravitational anomalies to restore symmetry via an improved Ward operator.
Contribution
It introduces a geometrically consistent extension of the coordinate transformations algebra and constructs new invariants and anomalies to restore symmetry.
Findings
Derived an infinite class of invariants.
Extended gravitational anomalies to even dimensions.
Restored symmetry with an improved Ward operator.
Abstract
An extension of the General Coordinate Transformations algebra is constructed by means geometrical consistency conditions. An class of infinite invariants is derived. In particular we construct the consistent extension of the gravitational anomaly for each even dimension. The new contributions for these anomalies allow to define an improved Ward operator for which the symmetry is restored.
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