Punctures and p-spin curves from matrix models II
| Autor: | Edouard Brézin, Shinobu Hikami |
|---|---|
| Přispěvatelé: | Champs, Gravitation et Cordes, Laboratoire de physique de l'ENS - ENS Paris (LPENS), Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL), Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP) |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Pure mathematics Logarithm [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] FOS: Physical sciences 01 natural sciences Matrix model String equation symbols.namesake constraint: Virasoro 0103 physical sciences correlation function 0101 mathematics spin: 1/2 spin: 3/2 Mathematical Physics Mathematics Spins 010308 nuclear & particles physics [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] Riemann surface 010102 general mathematics Statistical and Nonlinear Physics Supersymmetry matrix model: random Mathematical Physics (math-ph) High Energy Physics - Theory (hep-th) string symbols supersymmetry Random matrix Ramond |
| Zdroj: | J.Statist.Phys. J.Statist.Phys., 2021, 183 (3), pp.36. ⟨10.1007/s10955-021-02776-4⟩ |
| DOI: | 10.48550/arxiv.2010.01444 |
| Popis: | We report here an extension of a previous work in which we have shown that matrix models provide a tool to compute the intersection numbers of p-spin curves. We discuss further an extension to half-integer p, and in more details for p=1/2 and p=3/2. In those new cases one finds contributions from the Ramond sector, which were not present for positive integer p.The existence of Virasoro constraints, in particular a string equation, is considered also for half-integral spins. The contribution of the boundary of a Riemann surface, is investigated through a logarithmic matrix model The supersymmetric random matrices provide extensions to mixed positive and negative p punctures. Comment: 27 pages |
| Databáze: | OpenAIRE |
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