Quantum Cohomology and Free Field Representation

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dc.creatorEguchi, Tohru
dc.creatorJinzenji, Masao
dc.creatorXiong, Chuan-Sheng
dc.date1997-09-20
dc.date.accessioned2026-07-07T09:14:39Z
dc.date.available2026-07-07T09:14:39Z
dc.descriptionIn our previous article we have proposed that the Virasoro algebra controls the quantum cohomology of Fano varieties at all genera. In this paper we construct a free field description of Virasoro operators and quantum cohomology. We shall show that to each even (odd) homology class of a Kähler manifold we have a free bosonic (fermionic) field and Virasoro operators are given by a simple bilinear form of these fields. We shall show that the Virasoro condition correctly reproduces the Gromov-Witten invariants also in the case of manifolds with non-vanishing non-analytic classes ($h^{p,q}\not=0,p\not=q$) and suggest that the Virasoro condition holds universally for all compact smooth Kähler manifolds.
dc.descriptionLatex, 13pages
dc.identifierhttps://arxiv.org/abs/hep-th/9709152
dc.identifierhttp://arxiv.org/abs/hep-th/9709152
dc.identifierNucl.Phys. B510 (1998) 608-622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152751
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.titleQuantum Cohomology and Free Field Representation
dc.typetext

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