Open KdV hierarchy of 2d minimal gravity of Lee-Yang series

DOI10.1016/j.nuclphysb.2020.114971zbMath1473.83063arXiv1808.07304OpenAlexW3008897407MaRDI QIDQ2230238

Hisayoshi Muraki, Chaiho Rim

Publication date: 17 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07304

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Laplace transform (44A10) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Analogues of general relativity in lower dimensions (83C80) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Hierarchies of computability and definability (03D55)

Related Items (3)

Topological two-dimensional gravity on surfaces with boundary ⋮ Open minimal strings and open Gelfand-Dickey hierarchies ⋮ Topological open/closed string dualities: matrix models and wave functions

Cites Work

• Unnamed Item
• Strings in less than one dimension and the generalized KdV hierarchies
• Microscopic and macroscopic loops in nonperturbative two-dimensional gravity
• Minimal Liouville gravity correlation numbers from Douglas string equation
• Equivalence of the open KdV and the open Virasoro equations for the moduli space of Riemann surfaces with boundary
• Intersection theory on the moduli space of curves and the matrix Airy function
• Minimal gravity and Frobenius manifolds: bulk correlation on sphere and disk
• Open KdV hierarchy and minimal gravity on disk
• Dual Frobenius manifolds of minimal gravity on disk
• Open intersection numbers, matrix models and MKP hierarchy
• Open intersection numbers, Kontsevich-Penner model and cut-and-join operators
• Open intersection numbers and the wave function of the KdV hierarchy
• On correlation numbers in 2D minimal gravity and matrix models
• Matrix model approach to minimal Liouville gravity revisited

This page was built for publication: Open KdV hierarchy of 2d minimal gravity of Lee-Yang series