Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-03-07
Int.J.Mod.Phys. A10 (1995) 1671-1692
Physics
High Energy Physics
High Energy Physics - Theory
30 pages, KUCP-64, phyzzx, TeX file
Scientific paper
The representation theories of the SU(2)$_k$-extended $N$=4 superconformal algebras (SCAs) with $arbitrary$ level $k$ are developed being based on their Feigin-Fuchs representations found recently by the present author. A basic unit of the representation blocks consisting of eight \lq\lq boson-like\rq\rq\ and eight \lq\lq fermion-like\rq\rq\ conformal fields is found to describe arbitrary representations of the $N$=4 SU(2)$_k$ SCAs, including {\it unitary} and {\it nonunitary} representations. The transformation properties of the fundamental sets of the conformal fields under the $N$=4 SU(2)$_k$ superconformal symmetries are given. Then, the whole sets of the charge-screening operators of the $N$=4 SU(2)$_k$ SCAs are identified out of the sixteen conformal fields in the basic unit of the representation blocks. The conditions for the {\it eligible} charge-screening operators are analyzed in terms of the continuous parameters which enter in our vertex-operator forms for the fundamental conformal fields of the representation blocks.
No associations
LandOfFree
Representation Blocks of Conformal Fields for the $N$=4 SU(2)$_k$ Superconformal Algebras 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 Representation Blocks of Conformal Fields for the $N$=4 SU(2)$_k$ Superconformal Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representation Blocks of Conformal Fields for the $N$=4 SU(2)$_k$ Superconformal Algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-400326