From vertex operators to Calogero-Sutherland models - INSPIRE

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From vertex operators to Calogero-Sutherland models

V. Marotta
(
- Naples U. and
- INFN, Naples
)
,
A. Sciarrino
(
- Naples U. and
- INFN, Naples
)

Apr, 1996

28 pages

Published in:

Nucl.Phys.B 476 (1996) 351-373

e-Print:

hep-th/9604158 [hep-th]

DOI:

10.1016/0550-3213(96)00345-8

Report number:

DSF-T-95-49

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Abstract:

The correlation function of the product of N generalized vertex operators satisfies an infinite set of Ward identities, related to a W_{\infty} algebra, whose extention out of the mass shell gives rise to equations which can be considered as a generalization of the compactified Calogero-Sutherland (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 exitated state. The role of vertex algebra as underlying unifying structure is pointed out.

Note:

28 pages, Latex Report-no: DSF-T-95/49

02.20.Tw
03.65.Fd
Vertex operator
W ∞ algebra
Calogero-Sutherland model
W∞ algebra
integrability
dimension: 1
operator: vertex
operator: differential

References(34)

Figures(0)

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