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  • 1985-1989  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Loop algebras and superalgebras based on S 7 (1988)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 281-286 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528065
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Quantum BRST charge for quadratically nonlinear Lie algebras (1989)
    Springer
    Communications in mathematical physics 124 (1989), S. 87-103 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: 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).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01218470
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    Paper (German National Licenses)
    Fulltext
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