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The Full Structure of Quantum $N=2$ Super-$W_3^{(2)}$ Algebra

C. Ahn·S. Krivonos·A. Sorin
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Abstract

We present the complete structure of the nonlinear $N=2$ super extension of Polyakov-Bershadsky, $W_3^{(2)}$, algebra with the generic central charge, $c$, at the {\it quantum} level. It contains extra two pairs of fermionic currents with integer spins 1 and 2, besides the currents of $N=2$ superconformal and $W_3^{(2)}$ algebras. For $c\rightarrow \infty$ limit, the algebra reduces to the classical one, which has been studied previously. The 'hybrid' field realization of this algebra is also discussed.

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C. Ahn, S. Krivonos, A. Sorin. 1995-01-30. The Full Structure of Quantum $N=2$ Super-$W_3^{(2)}$ Algebra. https://doi.org/10.1142/s0217732395001423

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