String path integral realization of vertex operator algebras

DOI10.1090/memo/0444zbMath0749.17029OpenAlexW1985946507MaRDI QIDQ3971911

Haruo Tsukada

Publication date: 25 June 1992

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0444

zbMATH Keywords

vertex operator algebrasstring theoryaffine Lie algebrasvertex operator representationsbasic representationsmethod of zeta-regularizationstring path integrals

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Path integrals in quantum mechanics (81S40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Vertex operator superalgebras, Modular invariance of characters of vertex operator algebras, Current algebra on the torus, Elements of the annihilating ideal of a standard module, Full field algebras, Wess-Zumino-Witten conformal field theory for simply laced groups at level one, Modular invariance for conformal full field algebras, A symplectic approach to certain functional integrals and partition functions, Capacity of a union of three intervals and theta functions of genus 2