Classification of Two Dimensional N=4 Superconformal Symmetries

Details Classification of Two Dimensional N=4 Superconformal Symmetries Classification of Two Dimensional N=4 Superconformal Symmetries

1999-06-14

arxiv.org/abs/hep-th/9906096v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX, no figures, one table

Scientific paper

Classification of N=4 superconformal symmetries in two dimensions is re-examined. It is proposed that apart from SU(2) and $SU(2)\times SU(2)\times U(1)$ their Kac-Moody symmetry can also be $SU(2)\times(U(1))^4$. 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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