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Lowest-energy representations of non-centrally extended diffeomorphism algebras. (English) Zbl 0936.17025
Author’s abstract: We describe a class of non-central extensions of the diffeomorphism algebra in \(N\)-dimensional spacetime, and construct lowest-energy modules thereof, thus generalizing work of Eswara Rao and Moody. There is one representation for each representation of \(\text{Vir }\widetilde {\ltimes}_{k_0} \widehat{\text{gl}(N)}\) (an extension of the semi-direct product). Similar modules are constructed for gauge algebras.

MSC:
17B68 Virasoro and related algebras
17B66 Lie algebras of vector fields and related (super) algebras
17B81 Applications of Lie (super)algebras to physics, etc.
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