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A Note on Representations of the $w_\infty$ Algebra

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arxiv hep-th/9209067 v1 pith:4L6NW5GL submitted 1992-09-18 hep-th

classification hep-th
keywords algebrarepresentationsinftyunitarydemonstrateexplicitlyjustnote
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abstract

We explicitly demonstrate that the unitary representations of the $w_\infty$ algebra and its truncations are just the unitary representations of the Virasoro algebra.

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Cited by 1 Pith paper

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  1. 2D or not 2D: a "holographic dictionary" for Lowest Landau Levels

    hep-th 2025-11 unverdicted novelty 6.0 of 10

    A 1D-2D correspondence is built for lowest Landau level fermions via a rotating harmonic trap model, giving Pauli-derived density bounds and entanglement entropy without logarithmic size dependence.

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