Preprint Article Version 1 This version is not peer-reviewed

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.

Journal reference: Symmetry 2018, 10, 415
DOI: 10.3390/sym10090415

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.

Subject Areas

conformal field theory; ground states; dual nets; U(1)-current algebra; Virasoro algebra

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