Geometry of the general affine-Virasoro construction

We obtain the geometric form of the general Virasoro construction L = L ab : J a J b : on the currents of affine g. The master equation is a particular Einstein-like system on the group manifold G, where the inertia tensor L ab defines a left-invariant metric. The central charge of the general const...

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Published inNuclear physics. B Vol. 332; no. 2; pp. 411 - 424
Main Authors Halpern, M.B., Yamron, Jonathan P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 05.03.1990
Elsevier
Subjects
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Metric
Invariance
Virasoro algebra
Curvature
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Summary:We obtain the geometric form of the general Virasoro construction L = L ab : J a J b : on the currents of affine g. The master equation is a particular Einstein-like system on the group manifold G, where the inertia tensor L ab defines a left-invariant metric. The central charge of the general construction is c = dim g − 4 R, with R the curvature scalar. Extension to include linear terms, for example L = L ab : J a J b : + D a ∂J a , defines particular Einstein-Maxwell-like generalizations.
ISSN:0550-3213
1873-1562
DOI:10.1016/0550-3213(90)90102-J