Journal article
Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras
Communications in mathematical physics, Vol.246(2), pp.333-358
04/2004
DOI: 10.1007/s00220-004-1048-0
Abstract
We develop a method for computing the short distance expansion of fields or operators that live in the coadjoint representation of an infinite dimensional Lie algebra by using only properties of the adjoint representation and its dual. We explicitly implement this method by computing the short distance expansion for the duals of the Virasoro algebra, affine Lie algebras and the geometrically realized N-extended supersymmetric
Virasoro algebra. This method can also be used to compute short distance expansions between fields that transform in the adjoint and those that transform in the coadjoint representations.
Details
- Title: Subtitle
- Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras
- Creators
- S James Gates Jr - University of Maryland, College ParkW D Linch III - University of Maryland, College ParkJoseph Phillips - University of Maryland, College ParkV G J Rodgers - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in mathematical physics, Vol.246(2), pp.333-358
- DOI
- 10.1007/s00220-004-1048-0
- ISSN
- 0010-3616
- eISSN
- 1432-0916
- Publisher
- Springer-Verlag
- Language
- English
- Date published
- 04/2004
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199755702771
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