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arxiv: hep-th/9410013 · v1 · submitted 1994-10-04 · ✦ hep-th

W-Algebras of Negative Rank

classification ✦ hep-th
keywords w-algebrasdefinednegativeadditionalgebrasalreadyanalyticargue
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Recently it has been discovered that the W-algebras (orbifold of) WD_n can be defined even for negative integers n by an analytic continuation of their coupling constants. In this letter we shall argue that also the algebras WA_{-n-1} can be defined and are finitely generated. In addition, we show that a surprising connection exists between already known W-algebras, for example between the CP(k)-models and the U(1)-cosets of the generalized Polyakov-Bershadsky-algebras.

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  1. Non-Commutative Gauge Theory at the Beach

    hep-th 2025-09 unverdicted novelty 7.0

    Non-commutative 5d Chern-Simons theory on the spinor bundle compactifies to the KP equation, with vanishing tree amplitudes and W_{1+∞} defect algebra reducing to w_{1+∞} in the dispersionless limit.