SU ( 2 ) 0 and OSp ( 2 | 2 ) − 2 WZNW models : Two current algebras , one Logarithmic CFT

We show that the SU(2)0 WZNW model has a hidden OSp(2|2)−2 symmetry. Both these theories are known to have logarithms in their correlation functions. We also show that, like OSp(2|2)−2, the logarithmic structure present in the SU(2)0 model is due to the underlying c = −2 sector. This leads us to conjecture that the continuous representation of SU(2) can be produced by the fusion of several discrete ones. We also discuss some of the novel boundary effects which can take place. We also show that the quantum Hamiltonian reduction of SU(2)0 leads very directly to the correlation functions of the c = −2 model. [email protected] [email protected]