The central extension of Kac-Moody-Malcev algebras

Osipov, Edward P.

doi:10.1007/bf00397055

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Brst Quantization1

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1995

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Cited by 9 publications

(2 citation statements)

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“…If we on the right hand side of eq. ( 18) set X = 1, ∂θ = 0, we get a non-associative algebra like the ones in [17,18,21]. The present formulation is stronger.…”

mentioning

confidence: 78%

N=8 superconformal algebra and the superstring

1993

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The superstring in D = 3, 4 and 6 is invariant under an N = D−2 superconformal algebra based on S D−3 . There is a direct relationship between this (world-sheet) symmetry and the super-Poincaré (target space) symmetry. We establish this relationship using the light-cone gauge, show how the statement generalizes to D = 10 and examine the properties of the N = 8 superconformal algebra and the possible implications of its existence.Submitted to Phys.Lett.B

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“…If we on the right hand side of eq. ( 18) set X = 1, ∂θ = 0, we get a non-associative algebra like the ones in [17,18,21]. The present formulation is stronger.…”

mentioning

confidence: 78%

N=8 superconformal algebra and the superstring

1993

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“…The realization of Berkovits [8] is the simplest realization of the algebra, that fulfills the critical OPE without any quantum correction. Note, that the results of Osipov on possible central extensions [16], quoted there, only cover the underlying nonassociative Malcev-Kac-Moody-algebras, thereby neglecting all the soft anomalies.…”

Section: Brst Quantizationmentioning

confidence: 99%

Quantum version of the N = 8 superconformal algebra

Samtleben

1995

Nuclear Physics B

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The quantized form of the soft N=8 superconformal algebra is investigated. Its operator product expansions are shown to exhibit a one-parameter-class of (soft) anomalies, which m a y be arbitrarily shifted by certain suitable quantum corrections of the generators. In particular, the BRST operator can be constructed and made nilpotent in the quantum version of all known realizations of the algebra. This generalizes the results of Cederwall and Preitschopf, who studied the c S 7 -algebra, that is contained as a soft Kac-Moody part in the superconformal algebra. A Fock-space representation is given, that has to be somewhat unusual in certain modes.

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S 7 andŠ 7

Cederwall

Preitschopf

1995

Commun.Math. Phys.

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The central extension of Kac-Moody-Malcev algebras

Cited by 9 publications

References 20 publications

N=8 superconformal algebra and the superstring

N=8 superconformal algebra and the superstring

Quantum version of the N = 8 superconformal algebra

S 7 andŠ 7

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