The method of coadjoint orbits; An algorithm for the construction of invariant actions
- Inst. for Theoretical Physics, State Univ. of New York at Stony Brook, Stony Brook, NY (US)
- Dept. of Physics and Astronomy, Univ. of Iowa, Iowa City, IA (US)
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, the authors 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 super-symmetric 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. The authors further consider the actions corresponding to the other orbits of the super Virasoro algebra. As a new result the authors construct the actions for the N = 2 super Virasoro algebra.
- OSTI ID:
- 5615398
- Journal Information:
- International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 5:20; ISSN IMPAE; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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