BRST OPERATOR FOR SUPERCONFORMAL ALGEBRAS WITH QUADRATIC NONLINEARITY
Academic Article
Overview
Research
Identity
Additional Document Info
Other
View All
Overview
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 Z2 Z2-graded superconformal algebras with a Kac-Moody sector based on the superalgebra osp(N{divides}2M) or sl(N+2{divides}N). 1994.