Fusion rules and logarithmic representations of a WZW model at fractional level

Details Fusion rules and logarithmic representations of a WZW model at fractional level Fusion rules and logarithmic representations of a WZW model at fractional level

2001-05-04

arxiv.org/abs/hep-th/0105046v2

Nucl.Phys. B618 (2001) 407-436

Physics

High Energy Physics

High Energy Physics - Theory

36 pages harvmac (b), 4 figures; references added

Scientific paper

10.1016/S0550-3213(01)00490-4

The fusion products of admissible representations of the su(2) WZW model at the fractional level k=-4/3 are analysed. It is found that some fusion products define representations for which the spectrum of L_0 is not bounded from below. Furthermore, the fusion products generate representations that are not completely reducible and for which the action of L_0 is not diagonalisable. The complete set of representations that is closed under fusion is identified, and the corresponding fusion rules are derived.

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