Covariant Mickelsson-Faddeev extensions of gauge and diffeomorphism algebras

TA Larsson - arXiv preprint arXiv:1205.2353, 2012 - arxiv.org
arXiv preprint arXiv:1205.2353, 2012arxiv.org
We construct new extensions of current and diffeomorphism algebras in N> 3 dimensions,
which are related to the Mickelsson-Faddeev algebra. The result is compatible with
Dzhumadil'daev's classification of diffeomorphism cocycles. We also construct an extension
of the current algebra in N>= 5 dimensions which depends on the fourth Casimir operator.
We construct new extensions of current and diffeomorphism algebras in N>3 dimensions, which are related to the Mickelsson-Faddeev algebra. The result is compatible with Dzhumadil'daev's classification of diffeomorphism cocycles. We also construct an extension of the current algebra in N>=5 dimensions which depends on the fourth Casimir operator.
arxiv.org