Classification of Two Dimensional N=4 Superconformal Symmetries
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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