Double scaling limits of Dirac ensembles and Liouville quantum gravity
DOI10.1088/1751-8121/accfd6zbMath1522.83070arXiv2204.14206OpenAlexW4366816168MaRDI QIDQ6041773
Masoud Khalkhali, Hamed Hessam, Nathan Pagliaroli
Publication date: 15 May 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.14206
noncommutative geometryquantum gravityrandom matricesPainlevé equationsdouble scaling limitfinite spectral triplesDirac ensembles
Noncommutative algebraic geometry (14A22) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Spinor and twistor methods applied to problems in quantum theory (81R25) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Random matrices (algebraic aspects) (15B52) Difference equations, scaling ((q)-differences) (39A13) Conformal structures on manifolds (53C18) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)
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Cites Work
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