Essential paths space on ADE SU(3) graphs: A geometric approach
| Autor: | Pineda, Jesus A., Isasi, E., Caicedo, M. I. |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | For simply laced $SU(3)$ graphs we offer a geometric understanding of the path creation and annihilation operators for $SU(3)$ in terms of creation and annihilation of sequences of three vertices forming triangular cells or collapsed triangular cells. We prove that the space of paths of a given length can be decomposed as a direct sum of orthogonal sub-spaces constructed by recurrent applications of the path creation operator on subspaces of essential paths of shorter length. Comment: 12 pages, 4 figures, v2: revised length with a more formal mathematical structure. Some partial results have been removed for clarity |
| Databáze: | arXiv |
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