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We obtain a new free field realization of $N=2$ super $W_{3}$ algebra usingthe technique of quantum hamiltonian reduction. The construction is based on aparticular choice of the simple root system of the affine Lie superalgebra$sl(3|2)^{(1)}$ associated with a non-standard $sl(2)$ embedding. Aftertwisting and a similarity transformation, this $W$ algebra can be identified asthe extended topological conformal algebra of non-critical $W_{3}$ stringtheory.Comment: 14pages, UTHEP-27

LIE SUPERALGEBRA AND EXTENDED TOPOLOGICAL CONFORMAL SYMMETRY IN NON-CRITICAL W3-STRINGS

LIE SUPERALGEBRA AND EXTENDED TOPOLOGICAL CONFORMAL SYMMETRY IN NON-CRITICAL W₃-STRINGS