Ground state representations of some non-rational conformal nets
arXiv:1807.11723 · doi:10.3390/sym10090415
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 Vir_c, we obtain a possibly new family of Möbius covariant nets on S^1.
arXiv comment15 pages, 1 TikZ figure
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