Intersection theory from duality and replica

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dc.creatorBrezin, E.
dc.creatorHikami, S.
dc.date2007-08-16
dc.date.accessioned2026-07-07T11:52:57Z
dc.date.available2026-07-07T11:52:57Z
dc.descriptionKontsevich's work on Airy matrix integrals has led to explicit results for the intersection numbers of the moduli space of curves. In this article we show that a duality between k-point functions on $N\times N$ matrices and N-point functions of $k\times k$ matrices, plus the replica method, familiar in the theory of disordered systems, allows one to recover Kontsevich's results on the intersection numbers, and to generalize them to other models. This provides an alternative and simple way to compute intersection numbers with one marked point, and leads also to some new results.
dc.identifierhttps://arxiv.org/abs/0708.2210
dc.identifierhttp://arxiv.org/abs/0708.2210
dc.identifierCommun.Math.Phys.283:507-521,2008
dc.identifierdoi:10.1007/s00220-008-0519-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204364
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleIntersection theory from duality and replica
dc.typetext

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