Advanced Studies in Pure Mathematics

Superconformal field theory and operator algebras

Yasuyuki Kawahigashi

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Abstract

We present an operator algebraic approach to superconformal field theory and a classification result in this framework. This is based on a joint work with S. Carpi and R. Longo

Article information

Source
Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006, J.-P. Bourguignon, M. Kotani, Y. Maeda and N. Tose, eds. (Tokyo: Mathematical Society of Japan, 2009), 69-81

Dates
Received: 9 December 2006
Revised: 11 May 2008
First available in Project Euclid: 28 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543447902

Digital Object Identifier
doi:10.2969/aspm/05510069

Mathematical Reviews number (MathSciNet)
MR2463491

Zentralblatt MATH identifier
1190.81120

Subjects
Primary: 46L37: Subfactors and their classification 81T05: Axiomatic quantum field theory; operator algebras 81T40: Two-dimensional field theories, conformal field theories, etc. 81T60: Supersymmetric field theories

Keywords
Superconformal field theory operator algebra subfactor modular invariant central charge

Citation

Kawahigashi, Yasuyuki. Superconformal field theory and operator algebras. Noncommutativity and Singularities: Proceedings of French–Japanese symposia held at IHÉS in 2006, 69--81, Mathematical Society of Japan, Tokyo, Japan, 2009. doi:10.2969/aspm/05510069. https://projecteuclid.org/euclid.aspm/1543447902


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