From vertex operators to CalogeroSutherland models
Abstract
The correlation function of the product of N generalized vertex operators satisfies an infinite set of Ward identities, related to a W_{∞} algebra, whose extension out of the mass shell gives rise to equations which can be considered as a generalization of the compactified CalogeroSutherland (CS) Hamiltonians. In particular the wave function of the ground state of the compactified CS model is shown to be given by the value of the product of N vertex operators between the vacuum and an excited state and the Hamiltonian is identified with W_{0}^{2} generator. The role of the vertex algebra as underlying unifying structure is pointed out.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)003458
 arXiv:
 arXiv:hepth/9604158
 Bibcode:
 1996NuPhB.476..351M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 28 pages, Latex