Computing topological invariants with one and two-matrix models

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dc.creatorBrezin, E.
dc.creatorHikami, S.
dc.date2008-10-07
dc.date2009-03-05
dc.date.accessioned2026-07-07T13:10:18Z
dc.date.available2026-07-07T13:10:18Z
dc.descriptionA generalization of the Kontsevich Airy-model allows one to compute the intersection numbers of the moduli space of p-spin curves. These models are deduced from averages of characteristic polynomials over Gaussian ensembles of random matrices in an external matrix source. After use of a duality, and of an appropriate tuning of the source, we obtain in a double scaling limit these intersection numbers as polynomials in p. One can then take the limit p to -1 which yields a matrix model for orbifold Euler characteristics. The generalization to a time-dependent matrix model, which is equivalent to a two-matrix model, may be treated along the same lines ; it also yields a logarithmic potential with additional vertices for general p.
dc.description30 pages, added references, changed content
dc.identifierhttps://arxiv.org/abs/0810.1085
dc.identifierhttp://arxiv.org/abs/0810.1085
dc.identifierJHEP 0904:110,2009
dc.identifierdoi:10.1088/1126-6708/2009/04/110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228980
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleComputing topological invariants with one and two-matrix models
dc.typetext

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