BRST Operator for Superconformal Algebras with Quadratic Nonlinearity

Abstract

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 $osp(N|2M)$ or $s\ell (N+2|N)$.

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

References in corpus (2)

• Results of the classification of superconformal algebras in two dimensions
• Exceptional Superconformal Algebras

Cited by in corpus (4)

• Seven-Sphere and the Exceptional N=7 and N=8 Superconformal Algebras
• Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization
• BRST operators for W algebras
• Note on W3 Realizations of the Bosonic String