Quasifinite Highest Weight Modules over Super $W_{1+\infty}$ Algebra

Details Quasifinite Highest Weight Modules over Super $W_{1+\infty}$ Algebra Quasifinite Highest Weight Modules over Super $W_{1+\infty}$ Algebra

1994-04-07

arxiv.org/abs/hep-th/9404041v1

Commun.Math.Phys. 170 (1995) 151-180

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, Plain Tex, YITP/K-1055, UT-670, SULDP-1994-2

Scientific paper

10.1007/BF02099443

We study quasifinite highest weight modules over the supersymmetric extension of the $W_{1+\infty}$ algebra on the basis of the analysis by Kac and Radul. We find that the quasifiniteness of the modules is again characterized by polynomials, and obtain the differential equations for highest weights. The spectral flow, free field realization over the $(B,C)$--system, and the embedding into $\Glinf$ are also presented.

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