Lowest-energy representations of non-centrally extended diffeomorphism algebras

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 $Vir\ltimes_{k_0}\km{gl(N)}$ (an extension of the semi-direct product). Similar modules are constructed for gauge algebras.

arXiv commentMinor changes in published version. 13 pages, Latex

Cited by in corpus (6)

• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Magnetic hydrodynamics with asymmetric stress tensor
• Higher-U(2,2)-spin fields and higher-dimensional W-gravities: quantum AdS space and radiation phenomena
• Classification of irreducible bounded weight modules over the derivation Lie algebras of quantum tori
• Extended diffeomorphism algebras in (quantum) gravitational physics
• Promoting finite to infinite symmetries: the 3+1-dimensional analogue of the Virasoro algebra and higher-spin fields