Schiffer operators and calculation of a determinant line in conformal field theory
Loading...
Access rights
openAccess
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Other link related to publication (opens in new window)
Date
2021
Major/Subject
Mcode
Degree programme
Language
en
Pages
19
253-271
253-271
Series
New York Journal of Mathematics, Volume 27
Abstract
We consider an operator associated to compact Riemann surfaces endowed with a conformal map, f, from the unit disk into the surface, which arises in conformal field theory. This operator projects holomorphic functions on the surface minus the image of the conformal map onto the set of functions h so that the Fourier series h o f has only negative powers. We give an explicit characterization of the cokernel, kernel, and determinant line of this operator in terms of natural operators in function theory.Description
Keywords
Determinant line, Rigged Riemann surfaces, Two-dimensional conformal field theory
Other note
Citation
Radnell, D, Schippers, E, Shirazi, M & Staubach, W 2021, ' Schiffer operators and calculation of a determinant line in conformal field theory ', New York Journal of Mathematics, vol. 27, pp. 253-271 . < http://nyjm.albany.edu/j/2021/27-8.html >