Journal article
THE METHOD OF COADJOINT ORBITS: AN ALGORITHM FOR THE CONSTRUCTION OF INVARIANT ACTIONS
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.5(20), pp.3943-3983
10/20/1990
DOI: 10.1142/S0217751X90001690
Abstract
The method of coadjoint orbits produces for any infinite dimensional Lie (super) algebra A with nontrivial central charge an action for scalar (super) fields which has at least the symmetry A. In this article, we try to make this method accessible to a larger audience by analyzing several examples in more detail than in the literature. After working through the Kac-Moody and Virasoro cases, we apply the method to the super Virasoro algebra and reobtain the supersymmetric extension of Polyakov's local nonpolynomial action for two-dimensional quantum gravity. As in the Virasoro case this action corresponds to the coadjoint orbit of a pure central extension. We further consider the actions corresponding to the other orbits of the super Virasoro algebra. As a new result we construct the actions for the N = 2 super Virasoro algebra.
Details
- Title: Subtitle
- THE METHOD OF COADJOINT ORBITS: AN ALGORITHM FOR THE CONSTRUCTION OF INVARIANT ACTIONS
- Creators
- GUSTAV W Delius - Stony Brook UniversityPETER VAN NIEUWENHUIZEN - Stony Brook UniversityV. G. J Rodgers - University of Iowa
- Resource Type
- Journal article
- Publication Details
- International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.5(20), pp.3943-3983
- DOI
- 10.1142/S0217751X90001690
- ISSN
- 0217-751X
- eISSN
- 1793-656X
- Language
- English
- Date published
- 10/20/1990
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199795602771
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