1. Topological Open/Closed String Dualities: Matrix Models and Wave Functions
- Author
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Jan Troost, Sujay K. Ashok, Champs, Gravitation et Cordes, Laboratoire de physique de l'ENS - ENS Paris (LPENS (UMR_8023)), Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Fédération de recherche du Département de physique de l'Ecole Normale Supérieure - ENS Paris (FRDPENS), Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure - Paris (ENS Paris)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), 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)-Sorbonne Université (SU)-Université Paris Diderot - Paris 7 (UPD7)-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)-Sorbonne Université (SU)-Université Paris Diderot - Paris 7 (UPD7), Institute of Mathematical Sciences [Chennai] (IMSc), and École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Université Paris Diderot - Paris 7 (UPD7)-École normale supérieure - Paris (ENS Paris)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Université Paris Diderot - Paris 7 (UPD7)
- Subjects
High Energy Physics - Theory ,Nuclear and High Energy Physics ,wave function ,Boundary (topology) ,Duality (optimization) ,FOS: Physical sciences ,Topology ,01 natural sciences ,String (physics) ,string: open ,symbols.namesake ,0103 physical sciences ,string: topological ,string: closed ,integrability: hierarchy ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,gravitation: coupling ,010306 general physics ,ComputingMilieux_MISCELLANEOUS ,Generating function (physics) ,Physics ,Matrix Models ,010308 nuclear & particles physics ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,Riemann surface ,Integrable Hierarchies ,matrix model ,duality: string ,Function (mathematics) ,Partition function (mathematics) ,Moduli space ,string: partition function ,High Energy Physics - Theory (hep-th) ,D-branes ,symbols ,lcsh:QC770-798 ,moduli space ,Virasoro ,2D Gravity ,gravitation: topological - Abstract
We sharpen the duality between open and closed topological string partition functions for topological gravity coupled to matter. The closed string partition function is a generalised Kontsevich matrix model in the large dimension limit. We integrate out off-diagonal degrees of freedom associated to one source eigenvalue, and find an open/closed topological string partition function, thus proving open/closed duality. We match the resulting open partition function to the generating function of intersection numbers on moduli spaces of Riemann surfaces with boundaries and boundary insertions. Moreover, we connect our work to the literature on a wave function of the KP integrable hierarchy and clarify the role of the extended Virasoro generators that include all time variables as well as the coupling to the open string observable., Comment: 24 pages
- Published
- 2019
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