Free Field Realization of $N=2$ Super $W_{3}$ Algebra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, latex, NBI-HE-93-08

Scientific paper

10.1016/0370-2693(93)90293-Q

We study the quantum $N=2$ super-$W_{3}$ algebra using the free field
realization, which is obtained from the supersymmetric Miura transformation
associated with the Lie superalgebra $A(2|1)$. We compute the full operator
product expansions of the algebra explicitly. It is found that the results
agree with those obtained by the OPE method.

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