Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-01-23
Mod.Phys.Lett. A10 (1995) 1299-1308
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, latex, no figures
Scientific paper
10.1142/S0217732395001423
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.
Ahn Changhyun
Krivonos Sergey
Sorin Alexander
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