Article
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Ground State Representations of Some Non-Rational Conformal Nets
Version 1
: Received: 29 July 2018 / Approved: 30 July 2018 / Online: 30 July 2018 (08:29:10 CEST)
A peer-reviewed article of this Preprint also exists.
Tanimoto, Y. Ground State Representations of Some Non-Rational Conformal Nets. Symmetry 2018, 10, 415. Tanimoto, Y. Ground State Representations of Some Non-Rational Conformal Nets. Symmetry 2018, 10, 415.
Abstract
We construct families of ground state representations of the U(1)-current net and of the Virasoro nets Virc with central charge c ≥ 1. We show that these representations are not covariant with respect to the original dilations, and those on the U(1)-current net are not solitonic. Furthermore, by going to the dual net of with respect to the ground state representations of Virc, one obtains possibly new family of Möbius covariant nets on S1.
Keywords
conformal field theory; ground states; dual nets; U(1)-current algebra; Virasoro algebra
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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