2018/07/31 by Yoh Tanimoto
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Algorithm #Central charge #Computer science #Conformal map #Construct (python library) #Covariant transformation #Current (fluid) #Dual (grammatical number) #Geometry #Ground state #Holomorphic and Operator Theory #Mathematical analysis #Mathematical physics #Mathematics #Net (polyhedron) #Physics #Pure mathematics #Quantum mechanics #State (computer science) #math-ph #math.MP #math.OA #math.RT #msc:22E67 #msc:81R10 #msc:81R15
paper · pdf · doi:10.3390/sym10090415
published as Symmetry Vol. 10, Issue 9 (2018), 415 · 15 pages, 1 TikZ figure
arxiv created 2018/09/19 · openalex publication_date 2018/09/19 · arxiv updated 2018/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 , one obtains possibly new family of Möbius covariant nets on S 1 .