Free Fields and Quasi-Finite Representation of $W_{1+\infty}$ Algebra

Details Free Fields and Quasi-Finite Representation of $W_{1+\infty}$ Algebra Free Fields and Quasi-Finite Representation of $W_{1+\infty}$ Algebra

1993-12-24

arxiv.org/abs/hep-th/9312192v2

Phys.Lett. B326 (1994) 95-100

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, UT-661, harvmac Reference is corrected

Scientific paper

10.1016/0370-2693(94)91198-3

We study quasi-finite representation of the $\Winf$ algebra recently proposed by Kac and Radul. When the central charge is integer, we show that they are represented by free fermions and bosonic ghosts. There are some nontrivial representations with vanishing central charge. We discuss that they may be described by large $N$ limit of topological models. We calculate their operator algebras explicitly.

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