Quantum version of the N = 8 superconformal algebra

Samtleben, Henning

doi:10.1016/0550-3213(95)00433-s

Cited by 2 publications

(1 citation statement)

References 24 publications

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“…[11] and further studied in refs. [12,13,14,15]. The soft N = 8 algebra appears as the algebra of first-class constraints in the Green-Schwarz superstring action in ten dimensions [12].…”

Section: Introductionmentioning

confidence: 99%

Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras

Günaydın

Ketov

1996

Nuclear Physics B

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We study realizations of the exceptional non-linear (quadratically generated, or Wtype) N = 8 and N = 7 superconformal algebras with Spin(7) and G 2 affine symmetry currents, respectively. Both the N = 8 and N = 7 algebras admit unitary highestweight representations in terms of a single boson and free fermions in 8 of Spin(7) and 7 of G 2 , with the central charges c 8 = 26/5 and c 7 = 5, respectively. Furthermore, we show that the general coset Ansätze for the N = 8 and N = 7 algebras naturally lead to the coset spaces SO(8) × U(1)/SO(7) and SO(7) × U(1)/G 2 , respectively, as the additional consistent solutions for certain values of the central charge. The coset space SO(8)/SO (7) is the seven-sphere S 7 , whereas the space SO(7)/G 2 represents the sevensphere with torsion, S 7 T . The division algebra of octonions and the associated triality properties of SO(8) play an essential role in all these realizations. We also comment on some possible applications of our results to string theory.

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“…[11] and further studied in refs. [12,13,14,15]. The soft N = 8 algebra appears as the algebra of first-class constraints in the Green-Schwarz superstring action in ten dimensions [12].…”

Section: Introductionmentioning

confidence: 99%

Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras

Günaydın

Ketov

1996

Nuclear Physics B

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Real forms of non-linear superconformal and quasi-superconformal algebras and their unified realization

Bina

Günaydın

1997

Nuclear Physics B

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We give a complete classification of the real forms of simple nonlinear superconformal algebras (SCA) and quasi-superconformal algebras (QSCA) and present a unified realization of these algebras with simple symmetry groups. This classification is achieved by establishing a correspondence between simple nonlinear QSCA's and SCA's and quaternionic and superquaternionic symmetric spaces of simple Lie groups and Lie supergroups, respectively. The unified realization we present involves a dimension zero scalar field (dilaton), dimension-1 symmetry currents, and dimension-1/2 free bosons for QSCA's and dimension-1/2 free fermions for SCA's. The free bosons and fermions are associated with the quaternionic and superquaternionic symmetric spaces of corresponding Lie groups and Lie supergroups, respectively. We conclude with a discussion of possible applications of our results.

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Quantum version of the N = 8 superconformal algebra

Cited by 2 publications

References 24 publications

Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras

Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras

Real forms of non-linear superconformal and quasi-superconformal algebras and their unified realization

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