A new relation among Catalan numbers

DOI10.1063/1.531233zbMath0842.05005OpenAlexW2032264353MaRDI QIDQ4873478

Bengt E. W. Nilsson, Per Sundell

Publication date: 17 July 1996

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

Full work available at URL: https://doi.org/10.1063/1.531233

zbMATH Keywords

generating functionstring theorygeneralized Catalan numbersconformal quantum field theorybinary Catalan numbersquadratic recurrence relations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Other combinatorial number theory (11B75) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Cites Work

• Classical and quantum conformal field theory
• Details of the non-unitary proof for highest weight representations of the Virasoro algebra
• Infinite conformal symmetry in two-dimensional quantum field theory
• Quantum field theory and the Jones polynomial
• Group theoretic approach to the open bosonic string multi-loop S-matrix
• Catalan numbers, their generalization, and their uses
• String vertices, overlap equations, \(\tau\) functions and the Hirota equation

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