BRST Operator for Superconformal Algebras with Quadratic Nonlinearity

Details BRST Operator for Superconformal Algebras with Quadratic Nonlinearity BRST Operator for Superconformal Algebras with Quadratic Nonlinearity

1993-07-06

arxiv.org/abs/hep-th/9307043v1

Phys.Lett. B326 (1994) 243-250

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, plain tex, CTP TAMU-27/93, IC/93/165

Scientific paper

10.1016/0370-2693(94)91317-X

We construct the quantum BRST operators for a large class of superconformal and quasi--superconformal algebras with quadratic nonlinearity. The only free parameter in these algebras is the level of the (super) Kac-Moody sector. The nilpotency of the quantum BRST operator imposes a condition on the level. We find this condition for (quasi) superconformal algebras with a Kac-Moody sector based on a simple Lie algebra and for the $Z_2\times Z_2$--graded superconformal algebras with a Kac-Mody sector based on the superalgebra $osp(N\vert 2M)$ or $s\ell(N+2\vert N)$.

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