Superspace Geometrical Representations of Extended Super Virasoro Algebras
arXiv:hep-th/9806038 · doi:10.1016/S0370-2693(98)00937-X
Abstract
Utilizing sets of super-vector fields (derivations), explicit expressions are obtained for; (a.) the 1D, N-extended superconformal algebra, (b.) the 1D, N-extended super Virasoro algebra for N = 1, 2 and 4 and (c.) a geometrical realization (GR) covering algebra that contains the super Virasoro algebra for arbitrary values of N. By use of such vector fileds, the super Virasoro algebra is embedded as a geometrical and model-independent structure in 1D and 2D Aleph-null-extended superspace.
13 pages, Latex
References in corpus (1)
Cited by in corpus (9)
- On the Yangian Y(e_8) quantum symmetry of maximal supergravity in two dimensions
- Notes on Superconformal Representations in Two Dimensions
- Heisenberg and Modular Invariance of N=2 Conformal Field Theory
- Super Gravitons Interacting with the Super Virasoro Group
- Superspace Geometrical Realization of the N-Extended Super Virasoro Algebra and its Dual
- Superconformal Mechanics and the Super Virasoro Algebra
- Superfield Component Decompositions and the Scan for Prepotential Supermultiplets in 10D Superspaces
- Chiral Supergravitons Interacting with a 0-Brane N-Extended NSR Super-Virasoro Group
- Short Distance Operator Product Expansion of the 1D, N = 4 Extended GR Super Virasoro Algebra by Use of Coadjoint Representations