Hurwitz numbers from Feynman diagrams
DOI10.1134/S0040577920090068zbMath1453.81052arXiv2006.07396OpenAlexW3106180816MaRDI QIDQ2215158
Sergey M. Natanzon, Alexander Yu. Orlov
Publication date: 11 December 2020
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.07396
Klein surfaceSchur polynomialrandom matrixHurwitz numbertau functionBKP hierarchytwo-dimensional Yang-Mills theoryWick law
Klein surfaces (30F50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Random matrices (algebraic aspects) (15B52) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Hurwitz and Lerch zeta functions (11M35) Monodromy on manifolds (58K10) Schur and (q)-Schur algebras (20G43) Matrix models and tensor models for quantum field theory (81T32) Differential geometry of submanifolds of Möbius space (53A31)
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