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Classification of Two Dimensional N=4 Superconformal Symmetries

1999/06/14 by Abbas Ali, Ali, Abbas
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9906096

20 pages, LaTeX, no figures, one table

arxiv created 1999/06/14 · arxiv updated 2009/11/30

Abstract

Classification of N=4 superconformal symmetries in two dimensions is re-examined. It is proposed that apart from SU(2) and SU(2)× SU(2)× U(1) their Kac-Moody symmetry can also be SU(2)×(U(1))4. These superconformal symmetries and corresponding algebras are named small, large and middle ones respectively. Operator product expansions for the middle algebra are derived. Complete free field realizations of large and middle superconformal symmetries are obtained.

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