Punctures and \(p\)-spin curves from matrix models

DOI10.1007/s10955-020-02581-5zbMath1447.81173arXiv2001.09267OpenAlexW4233476147MaRDI QIDQ2194198

Edouard Brézin, Shinobu Hikami

Publication date: 25 August 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09267

zbMATH Keywords

intersection numbersrandom matricesmatrix models

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Moduli problems for differential geometric structures (58D27) Spin and Spin({}^c) geometry (53C27) Random matrices (algebraic aspects) (15B52) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Relationships between algebraic curves and physics (14H81) Matrix models and tensor models for quantum field theory (81T32)

Related Items (3)

Formal pseudodifferential operators and Witten's \(r\)-spin numbers ⋮ Punctures and \(p\)-spin curves from matrix models. III: \(D_l\) type and logarithmic potential ⋮ Punctures and \(p\)-spin curves from matrix models. II

Cites Work

• Unnamed Item
• The intersection numbers of the \(p\)-spin curves from random matrix theory
• The Witten equation, mirror symmetry, and quantum singularity theory
• Extending \({\bar \partial}\) to singular Riemann surfaces
• Topological gravity with non-compact matter
• The virtual class of the moduli stack of stable \(r\)-spin curves
• Integration on moduli spaces of stable curves through localization
• Perturbative series and the moduli space of Riemann surfaces
• Intersection theory on the moduli space of curves and the matrix Airy function
• Refined open intersection numbers and the Kontsevich-Penner matrix model
• The Kontsevich-Penner matrix integral, isomonodromic tau functions and open intersection numbers
• Random supermatrices with an external source
• Matrix models for irregular conformal blocks and Argyres-Douglas theories
• The Euler characteristic of the moduli space of curves
• The \(\overline{\text{su}}(2)_{-1/2}\) WZW model and the \(\beta\gamma\) system
• Planar diagrams
• Duality and replicas for a unitary matrix model
• Counting lattice points in the moduli space of curves
• Notes on super Riemann surfaces and their moduli
• The super period matrix with Ramond punctures
• Chiodo formulas for the \(r\)-th roots and topological recursion
• Intersection theory from duality and replica
• Closed extended \(r\)-spin theory and the Gelfand-Dickey wave function
• Open intersection numbers, Kontsevich-Penner model and cut-and-join operators
• UNITARY MATRIX INTEGRALS IN THE FRAMEWORK OF THE GENERALIZED KONTSEVICH MODEL
• Random Matrix Theory with an External Source
• On an Airy matrix model with a logarithmic potential
• Random matrix, singularities and open/close intersection numbers
• Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
• On a Theory of Particles with Half-Integral Spin
• Characteristic polynomials of random matrices.
• Fusion rules and logarithmic representations of a WZW model at fractional level

This page was built for publication: Punctures and \(p\)-spin curves from matrix models