We construct families of ground state representations of the U (1)-current net and of the Virasoro nets Vir(c) 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 with respect to the ground state representations of Virc, one obtains possibly new family of Mobius covariant nets on S-1.

Tanimoto, Y. (2018). Ground state representations of some non-rational conformal nets. SYMMETRY, 10(9), 415 [10.3390/sym10090415].

Ground state representations of some non-rational conformal nets

Tanimoto Y.
2018-01-01

Abstract

We construct families of ground state representations of the U (1)-current net and of the Virasoro nets Vir(c) 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 with respect to the ground state representations of Virc, one obtains possibly new family of Mobius covariant nets on S-1.
2018
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
conformal field theory; operator algebras; Haag-Kastler net; ground states; dual net; Virasoro algebra; Heisenberg algebra
Tanimoto, Y. (2018). Ground state representations of some non-rational conformal nets. SYMMETRY, 10(9), 415 [10.3390/sym10090415].
Tanimoto, Y
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/226734
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