Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models

Details Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models

1993-06-30

arxiv.org/abs/hep-th/9306164v3

Phys.Lett. B316 (1993) 496-502

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Plain TeX, BONN-HE-93-20. (A note added and a minor change at the end of section 3)

Scientific paper

10.1016/0370-2693(93)91034-K

We find a canonical $N{=}2$ superconformal algebra (SCA) in the BRST complex associated to any affine Lie algebra $\ghhat$ with $\gh$ semisimple. In contrast with the similar known results for the Virasoro, $N{=}1$ supervirasoro, and $\W_3$ algebras, this SCA does not depend on the particular ``matter'' representation chosen. Therefore it follows that every gauged WZNW model with data $(\gg\supset\gh, k)$ has an $N{=}2$ SCA with central charge $c=3\dim\gh$ independent of the level $k$. In particular, this associates to every embedding $sl(2) \subset \gg$ a one-parameter family of $c{=}9$ $N{=}2$ supervirasoro algebras. As a by-product of the construction, one can deduce a new set of ``master equations'' for generalized $N{=}2$ supervirasoro constructions which is simpler than the one considered thus far.

Affiliated with

Also associated with

No associations

Rating

Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine Algebras, $N{=}2$ Superconformal Algebras, and Gauged WZNW Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-345899