Exceptional Superconformal Algebras

P. Bowcock

doi:10.1016/0550-3213(92)90654-T

Exceptional Superconformal Algebras

高能物理 - 理论 2009-10-22 v1

作者: P. Bowcock

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摘要

Reductive W-algebras which are generated by bosonic fields of spin-1, a single spin-2 field and fermionic fields of spin-3/2 are classified. Three new cases are found: a `symplectic' family of superconformal algebras which are extended by $su(2)\oplus sp(n)$ , an $N=7$ and an $N=8$ superconformal algebra. The exceptional cases can be viewed as arising a Drinfeld-Sokolov type reduction of the exceptional Lie superalgebras $G(3)$ and $F(4)$ , and have an octonionic description. The quantum versions of the superconformal algebras are constructed explicitly in all three cases.

关键词

lie algebras and representations wess-zumino-witten models supergravity

引用

@article{arxiv.hep-th/9202061,
  title  = {Exceptional Superconformal Algebras},
  author = {P. Bowcock},
  journal= {arXiv preprint arXiv:hep-th/9202061},
  year   = {2009}
}

备注

16 pages

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