Abstract
Different modings of an algebra correspond to different boundary conditions on the fields occuring in the operator product expansions. Some of these modings can be transformed into one another by local automorphisms. This is applied to an N=4 superconformal algebra with an SO(4) Kač-Moody and a parameter γ. For a general value of γ there is only one independent algebra, for γ= 1 2 there are two of them. It is also shown how this algebra contains known N=1, N=2 and N=3 superconformal algebras as subalgebras.
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