Higher Coxeter graphs associated with affine su(3) modular invariants
| Autor: | E.H. Tahri, Gil Schieber, D. Hammaoui |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
High Energy Physics - Theory
business.industry Coxeter group Spectral properties FOS: Physical sciences General Physics and Astronomy Statistical and Nonlinear Physics Mathematical Physics (math-ph) Modular design Vertex (geometry) Combinatorics High Energy Physics - Theory (hep-th) Affine transformation Invariant (mathematics) business Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and General. 38:8259-8286 |
| ISSN: | 1361-6447 0305-4470 |
| DOI: | 10.1088/0305-4470/38/38/007 |
| Popis: | The affine $su(3)$ modular invariant partition functions in 2d RCFT are associated with a set of generalized Coxeter graphs. These partition functions fall into two classes, the block-diagonal (Type I) and the non block-diagonal (Type II) cases, associated, from spectral properties, to the subsets of subgroup and module graphs respectively. We introduce a modular operator $\hat{T}$ taking values on the set of vertices of the subgroup graphs. It allows us to obtain easily the associated Type I partition functions. We also show that all Type II partition functions are obtained by the action of suitable twists $\vartheta$ on the set of vertices of the subgroup graphs. These twists have to preserve the values of the modular operator $\hat{T}$. Version 2. Abstract, introduction and conclusion rewritten, references added. 36 pages |
| Databáze: | OpenAIRE |
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