WZW Fusion Rings in the Limit of Infinite Level
In: Communications in Mathematical Physics, Jg. 185 (1997-05-01), Heft 3, S. 641-670
Online
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Zugriff:
Abstract:: We show that the WZW fusion rings at finite levels form a projective system with respect to the partial ordering provided by divisibility of the height, i.e. the level shifted by a constant. From this projective system we obtain WZW fusion rings in the limit of infinite level. This projective limit constitutes a mathematically well-defined prescription for the “classical limit” of WZW theories which replaces the naive idea of “sending the level to infinity.” The projective limit can be endowed with a natural topology, which plays an important rle for studying its structure. The representation theory of the limit can be worked out by considering the associated fusion algebra; this way we obtain in particular an analogue of the Verlinde formula.
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WZW Fusion Rings in the Limit of Infinite Level
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Autor/in / Beteiligte Person: | Fuchs, Jürgen ; Schweigert, Christoph |
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Zeitschrift: | Communications in Mathematical Physics, Jg. 185 (1997-05-01), Heft 3, S. 641-670 |
Veröffentlichung: | 1997 |
Medientyp: | serialPeriodical |
ISSN: | 0010-3616 (print) ; 1432-0916 (print) |
DOI: | 10.1007/s002200050104 |
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