The absolute rigidity of the Neveu{endash}Schwarz and Ramond superalgebras
Journal Article
·
· Journal of Mathematical Physics
- Centre for Mathematics and Computer Science, P.O. Box 94079, 1090 GB Amsterdam (The Netherlands)
- Institute of New Technologies in Education, Moscow (Russia)
We prove that the second cohomology group with coefficients in the adjoint module of both the infinite-dimensional Lie superalgebras {ital k}(1) and {ital k}{sup +}(1), as well as their unique central extensions, which are known as the Neveu{endash}Schwarz and the Ramond superalgebras, respectively, is equal to zero. This particularly implies that all these Lie superalgebras are rigid, i.e. they can only be deformed in a trivial manner. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 388209
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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