Higherspin and W_{∞}(J) algebras in Virasoroconstrained KP and NKdV hierarchies
Abstract
Virasoro constraints on the KP hierarchy, arising in matrix models, are studied by reexpressing them in terms of dressing operators of the hierarchy. There exists a oneparameter family of Virasoro representations on the KP hierarchy (depending on a number J which can be identified as the conformal weight of an abstract bc system). The respective full invariance algebra is the ``Borel'' subalgebra of W_{∞}(J), which we describe as an extension of the ``wedge'', or higher spin, algebra B_{λ = JJ}^{2} by the L_{2} Virasoro generator. Reductions of these structures of the NKdV hierarchies are performed explicitly.
Permanent address: Theory Division, P.N. Lebedev Physics Institute, SU117 924 Moscow, USSR.
 Publication:

Physics Letters B
 Pub Date:
 August 1991
 DOI:
 10.1016/03702693(91)90059Y
 Bibcode:
 1991PhLB..265..311S