KdV type hierarchies, the string equation and W1+∞ constraints


Leur, Johan van de (1995) KdV type hierarchies, the string equation and W1+∞ constraints. Journal of Geometry and Physics, 17 (2). pp. 95-124. ISSN 0393-0440

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Abstract:To every partition n = n1 + n2 + + ns one can associate a vertex operator realization of the Lie algebras α∞ and . Using this construction we make reductions of the s-component KP hierarchy, reductions which are related to these partitions. In this way we obtain matrix KdV type equations. Now assuming that (1) τ is a τ-function of the [n1, n2, …, ns]th reduced KP hierarchy and (2) τ satisfies a ‘natural’ string equation, we prove that τ also satisfies the vacuum constraints of the W1+∞ algebra.
Item Type:Article
Copyright:© 1995 Elsevier Science
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/29757
Official URL:https://doi.org/10.1016/0393-0440(94)00039-7
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