su(n) and sp(2n) WZW fusion rules
In: Journal of Physics A: Mathematical and General, Jg. 24 (1991-01-21), S. 391-400
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Zugriff:
Fusion rules for WZW models based on su(n) and sp(2n) are considered. Using the results of Kac (1989) and Walton (1989, 1990), it is shown that these fusion rules may be computed using Young diagram methods by performing extra modifications. These modifications take the form of the removal of boundary strips which bear a striking resemblance to the modifications necessary when performing tensor products for these algebras. This fact is exploited to exhibit a duality between the fusion rules of su(n) at level k and su(k) at level n and also between sp(2n) at level k and so(2k) at level n. The former duality has been discussed in the context of two-dimensional statistical mechanics by Kuniba and Nakanishi (1990) and also by Naculich and Schnitzer (1990) in the case of WZW models and Goodman and Wenzl (1989) for Hecke algebras at roots of unity. For su(3) a manifestly positive combinatorial procedure for computing fusion rules and a generating function for the fusion coefficients are given.
Titel: |
su(n) and sp(2n) WZW fusion rules
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Autor/in / Beteiligte Person: | C J Cummins |
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Zeitschrift: | Journal of Physics A: Mathematical and General, Jg. 24 (1991-01-21), S. 391-400 |
Veröffentlichung: | IOP Publishing, 1991 |
Medientyp: | unknown |
ISSN: | 1361-6447 (print) ; 0305-4470 (print) |
DOI: | 10.1088/0305-4470/24/2/012 |
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