Abstract loop equations, topological recursion and new applications

DOI10.4310/CNTP.2015.v9.n1.a2zbMath1329.14074arXiv1303.5808MaRDI QIDQ2346905

Gaëtan Borot, Nicolas Orantin, Bertrand Eynard

Publication date: 5 June 2015

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5808

zbMATH Keywords

partition functionChern-Simons theory1/N expansionmatrix modelsspectral curvetopological recursionAGT conjectureSchwinger-Dyson equationrepulsive particle systemsBKMP conjecture

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Quantization in field theory; cohomological methods (81T70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Groups and algebras in quantum theory and relations with integrable systems (81R12) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Noncommutative geometry in quantum theory (81R60) Eta-invariants, Chern-Simons invariants (58J28) Relationships between algebraic curves and physics (14H81)

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