Matrix models for random partitions

DOI10.1016/j.nuclphysb.2011.06.007zbMath1229.81211arXiv1005.5715OpenAlexW2060939170WikidataQ58009697 ScholiaQ58009697MaRDI QIDQ656664

Alexander Alexandrov

Publication date: 18 January 2012

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

Full work available at URL: https://arxiv.org/abs/1005.5715

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

On KP-integrable Hurwitz functions ⋮ Symplectic field theory of a disk, quantum integrable systems, and Schur polynomials ⋮ Superpolynomials for torus knots from evolution induced by cut-and-join operators ⋮ Ramifications of Hurwitz theory, KP integrability and quantum curves ⋮ Interplay between Macdonald and Hall-Littlewood expansions of extended torus superpolynomials ⋮ Fermionic approach to weighted Hurwitz numbers and topological recursion ⋮ M5-branes, toric diagrams and gauge theory duality ⋮ BKP and projective Hurwitz numbers ⋮ Matrix model for the stationary sector of Gromov-Witten theory of \(\mathbf{P}^1\) ⋮ Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture ⋮ Toda hierarchies and their applications ⋮ Weighted Hurwitz numbers and topological recursion: An overview ⋮ Challenges of \(\beta\)-deformation ⋮ From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity ⋮ A direct proof of AGT conjecture at {\(\beta\)} = 1 ⋮ Refined open intersection numbers and the Kontsevich-Penner matrix model ⋮ Integrals of tau functions: a round dance tau function and multimatrix integrals ⋮ From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators ⋮ Hurwitz numbers from Feynman diagrams ⋮ Generalized matrix models and AGT correspondence at all genera ⋮ KP integrability of triple Hodge integrals. II: Generalized Kontsevich matrix model ⋮ Brezin-Gross-Witten model as ``pure gauge limit of Selberg integrals ⋮ Special cases of the orbifold version of Zvonkine's \(r\)-ELSV formula ⋮ Connection between cut-and-join and Casimir operators ⋮ Weighted Hurwitz numbers and topological recursion ⋮ Hurwitz numbers and products of random matrices ⋮ A slow review of the AGT correspondence ⋮ Enumerative geometry, tau-functions and Heisenberg-Virasoro algebra

Cites Work

• Matrix models as CFT: genus expansion
• Topological strings and integrable hierarchies
• Two-dimensional topological strings revisited
• Polynomial averages in the Kontsevich model
• Two-dimensional QCD is a string theory
• Liouville correlation functions from four-dimensional gauge theories
• The topological vertex
• LOOP AVERAGES AND PARTITION FUNCTIONS IN U(N) GAUGE THEORY ON TWO-DIMENSIONAL MANIFOLDS
• GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS
• Integrability and matrix models
• ON EQUIVALENCE OF TWO HURWITZ MATRIX MODELS
• Chern–Simons matrix models, two-dimensional Yang–Mills theory and the Sutherland model
• UNIFIED DESCRIPTION OF CORRELATORS IN NON-GAUSSIAN PHASES OF HERMITIAN MATRIX MODEL
• Lectures on \(2\)D Yang-Mills theory, equivariant cohomology and topological field theories
• Unnamed Item
• Unnamed Item