Multi-dimensional Virasoro algebra and quantum gravity

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dc.creatorLarsson, T. A.
dc.date2007-09-17
dc.date.accessioned2026-07-07T08:30:45Z
dc.date.available2026-07-07T08:30:45Z
dc.descriptionI review the multi-dimensional generalizations of the Virasoro algebra, i.e. the non-central Lie algebra extensions of the algebra vect(N) of general vector fields in N dimensions, and its Fock representations. Being the Noether symmetry of background independent theories such as N-dimensional general relativity, this algebra is expected to be relevant to the quantization of gravity. To this end, more complicated modules which depend on dynamics in the form of Euler-Lagrange equations are described. These modules can apparently only be interpreted as quantum fields if spacetime has four dimensions and both bosons and fermions are present.
dc.descriptionIn: Mathematical physics research at the leading edge, ed: Charles V. Benton, pp 91-111, 2004 Nova Science Publishers Inc. ISBN 1-59033-905-3
dc.identifierhttps://arxiv.org/abs/0709.2539
dc.identifierhttp://arxiv.org/abs/0709.2539
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138317
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMulti-dimensional Virasoro algebra and quantum gravity
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