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Loop algebras and superalgebras based on S 7 (1988)

Englert, F. ; Sevrin, A. ; Troost, W. ; [weitere]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 29 (1988), S. 281-286

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.528065

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Digitale Medien

Quantum BRST charge for quadratically nonlinear Lie algebras (1989)

Schoutens, K. ; Sevrin, A. ; Nieuwenhuizen, P.

Springer

Communications in mathematical physics 124 (1989), S. 87-103

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ISSN: 1432-0916

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: Abstract We consider the construction of a nilpotent BRST charge for extensions of the Virasoro algebra of the form {T a ,T b }=f ab c T c +V ab cd T c T d , (classical algebras in terms of Poisson brackets) and [T a ,T b ]=h ab I+f ab c T c +V ab cd (T c T d )(quantum algebras in terms of commutator brackets; normal ordering of the product (T c T d ) is understood). In both cases we assume that the set of generators {T a } splits into a set {H i } generating an ordinary Lie algebra and remaining generators {S α }, such that only theV ij αβ are nonvanishing. In the classical case a nilpotent BRST charge can always be constructed; for the quantum case we derive a condition which is necessary and sufficient for the existence of a nilpotent BRST charge. Non-trivial examples are the spin-3 algebra with central chargec=100 and theso(N)-extended superconformal algebras with levelS=−2(N−3).

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01218470

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