2012/01/15 by T. A. Larsson, Larsson, T. A.
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Algebraic structures and combinatorial models #Advanced Operator Algebra Research
paper · pdf · doi:10.48550/arxiv.1205.2353
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.