SU(2)(0) and OSp(2|2)(-2) WZNW models: Two current algebras, one logarithmic CFT
Jul, 200131 pages
Published in:
- Int.J.Mod.Phys.A 17 (2002) 2615
e-Print:
- hep-th/0107160 [hep-th]
Report number:
- OUTP-01-38-P
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Abstract:
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. We also demonstrate that the quantum Hamiltonian reduction of SU(2)_0 leads very directly to the correlation functions of the c=-2 model. We also discuss some of the novel boundary effects which can take place in this model.- field theory: conformal
- Wess-Zumino-Witten model
- symmetry: SU(2)
- symmetry: OSp(2|2)
- hidden symmetry
- correlation function
- central charge: -2
- Lagrangian formalism
- Knizhnik-Zamolodchikov equation: factorization
- n-point function
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