Fay's trisecant identity and conformal field theory
type: Item
instance of: scholarly article
title: Fay's trisecant identity and conformal field theory
zbMATH Open document ID: 0682.14022
DOI: 10.1007/BF01256498
author: Yanyan Li
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: The paper under review studies the correlation functions of a system of free chiral fermions, which are defined on a compact Riemann surface. The author finds that the line bundle for which a given correlation function is a meromorphic section has a simple structure defined by the singularity structure demanded by physics. By studying this bundle it is shown that the correlation functions are uniquely determined by the basic postulates of the paper. As an immediate consequence of the uniqueness of the correlation function the proof of Fay's trisecant identities for abelian functions is given.
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 14K25
zbMATH DE Number: 4116699
zbMATH Keywords: conformal field theory
zbMATH Keywords: free chiral fermions
zbMATH Keywords: Fay's trisecant identities
MaRDI profile type: Publication
cites work: Theta functions on Riemann surfaces
cites work: Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
cites work: Q3788123
cites work: Quantum field theory, Grassmannians, and algebraic curves
cites work: Q4195061
cites work: Q4143433
cites work: Riemann surfaces and spin structures
cites work: Moduli of vector bundles on a compact Riemann surface
cites work: Q4090463
cites work: Q4135685
cites work: Q5541099
cites work: Q3904698
cites work: Q5800951
full work available at URL: https://doi.org/10.1007/bf01256498
OpenAlex ID: W1970510044
description: scientific article; zbMATH DE number 4116699