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

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

1997-12-31

arxiv.org/abs/hep-th/9712258v2

Nucl.Phys. B546 (1999) 369-389

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, AMS-LATEX2e, minor corrections

Scientific paper

10.1016/S0550-3213(99)00071-1

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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