Spectral curve duality beyond the two-matrix model

DOI10.1063/1.5094044zbMath1421.81122arXiv1909.02514OpenAlexW3101107104MaRDI QIDQ5234060

Martin T. Luu

Publication date: 9 September 2019

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

Full work available at URL: https://arxiv.org/abs/1909.02514

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Gravitational interaction in quantum theory (81V17) Groups and algebras in quantum theory and relations with integrable systems (81R12) Random matrices (algebraic aspects) (15B52)

Cites Work

• Unnamed Item
• Explicit solution for \(p\)--\(q\) duality in two-dimensional quantum gravity
• Duality, biorthogonal polynomials and multi-matrix models
• Simply-laced isomonodromy systems
• Quantum curves
• Duality of spectral curves arising in two-matrix models
• Dual moment maps into loop algebras
• Topological expansion of mixed correlations in the Hermitian 2-matrix model andx–ysymmetry of theF_galgebraic invariants

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