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Journal of Mathematical Physics / Volume 29 / Issue 2

J. Math. Phys. 29, 281 (1988); http://dx.doi.org/10.1063/1.528065 (6 pages)

Loop algebras and superalgebras based on S 7

F. Englert1, A. Sevrin2, W. Troost2, A. Van Proeyen2, and Ph. Spindel3

1Université Libre de Bruxelles, Pool de Physique, CP 225, B‐1050 Brussels, Belgium
2Instituut voor Theoretische Fysica, Universiteit Leuven, B‐3030 Leuven, Belgium
3Faculté des Sciences, Université de l’Etat à Mons, B‐7000 Mons, Belgium

(Received 3 June 1987; accepted 15 July 1987)

Loop algebras of parallel transformations are defined on seven spheres. These algebras can be extended with eight fermionic charges and the Virasoro algebra to a soft superalgebra using the geometry of cosets of supergroups, or to a nonassociative infinite‐dimensional N=8 d=2 superconformal algebra.

KEYWORDS and PACS

Keywords

SUPERSYMMETRY, ALGEBRA, STRING MODELS, TRANSFORMATIONS, GEOMETRY, CONFORMAL INVARIANCE, DIMENSIONS, LIE GROUPS, GROUP THEORY, SO GROUPS

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.528065

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    M. Günaydin and F. Gürsey, J. Math. Phys. 14, 1651 (1973JMAPAQ000014000011001651000001)
    R. Dündarer, F. Gürsey, and C.-H. Tze, ibid. 25, 1496 (1984JMAPAQ000025000005001496000001).


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