Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-11-27
Int. J. Mod. Phys. A8 (1993) 3615-3630
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, USC/92-023
Scientific paper
I construct classical superextensions of the Virasoro algebra by employing the Ward identities of a linearly realized subalgebra. For the $N=4$ superconformal algebra, this subalgebra is generated by the $N=2$ $U(1)$ supercurrent and a spin~0 $N=2$ superfield. I show that this structure can be extended to an $N=4$ super $W_3$ algebra, and give the complete form of this algebra.
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