De Sitter superalgebras and supergravity
β Scribed by K. Pilch; P. van Nieuwenhuizen; M. F. Sohnius
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 863 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
## Abstract We show that de Sitter vacua exist in simple extended supergravity theories. In the particular π© = 2 case we are considering here, we find a de Sitter solution of the supergravity theory with gravity and gravitini turned on by taking into account Ο^4^ torsion terms.
In three-dimensional de Sitter space S 3 1 and anti-de Sitter space H 3 1 , we generalize the classical BΓ€cklund theorem. Moreover, we obtain explicit forms of BΓ€cklund transformations (BTs) in the Tchebyshev coordinates and investigate the relation of loop group actions and BTs in S 3 1 .