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arxiv: hep-th/9712258 · v2 · submitted 1997-12-31 · ✦ hep-th

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The Mini-Superspace Limit of the SL(2,C)/SU(2)-WZNW Model

J. Teschner
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classification ✦ hep-th
keywords limitmini-superspacemodelwznwdiscussedfunctionsspectrumanalysis
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Many qualitatively new features of WZNW models associated to noncompact cosets are due to zero modes with continuous spectrum. Insight may be gained by reducing the theory to its zero-mode sector, the mini-superspace limit. This will be discussed in some detail for the example of SL(2,C)/SU(2)-WZNW model. The mini-superspace limit of this model can be formulated as baby-CFT. Spectrum, structure constants and fusion rules as well as factorization of four point functions are obtained from the harmonic analysis on SL(2,C)/SU(2). The issues of operator-state correspondence or the appearance of non-normalizable intermediate states in correlation functions can be discussed transparently in this context.

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