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Ground State Representations of Some Non-Rational Conformal Nets

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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… Click to show full 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: ground state; non rational; representations non; state representations

Journal Title: Symmetry
Year Published: 2018

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