Open Access
VOL. 16 | 1988 Null Field Construction in Conformal and Superconformal Algebras
Mitsuhiro Kato, Satoshi Matsuda

Editor(s) M. Jimbo, T. Miwa, A. Tsuchiya

Adv. Stud. Pure Math., 1988: 205-254 (1988) DOI: 10.2969/aspm/01610205

Abstract

We present the vertex operator construction of null fields (singular vertex operators) based on the oscillator representation of conformal and superconformal algebras with central charge extention. As a consequence of the null field construction we determine the degenerate highest weights and prove the corresponding Kac determinant formulae for the conformal ($N=0$) and superconformal ($N=1, 2$) algebras with $N$ supercharges. We also present an explicit construction of spin fields in the $N=1$ oscillator representations of the Neveu–Schwarz and Ramond algebras with extended central charges.

Information

Published: 1 January 1988
First available in Project Euclid: 17 June 2018

zbMATH: 0657.17012
MathSciNet: MR972995

Digital Object Identifier: 10.2969/aspm/01610205

Rights: Copyright © 1988 Mathematical Society of Japan

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