SU(2)k×SU(2)l/SU(2)k+l COSET CONFORMAL FIELD THEORY AND TOPOLOGICAL MINIMAL MODEL ON HIGHER GENUS RIEMANN SURFACE
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Publication:2775154
DOI10.1142/S0217751X93002186zbMath0985.81687arXivhep-th/9212118MaRDI QIDQ2775154
Publication date: 26 February 2002
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Abstract: We consider the Feigin-Fuchs-Felder formalism of the $SU(2)_k imes SU(2)_l/SU(2)_{k+l}$ coset minimal conformal field theory and extend it to higher genus. We investigate a double BRST complex with respect to two compatible BRST charges, one associated with the parafermion sector and the other associated with the minimal sector in the theory. The usual screened vertex operator is extended to the BRST invariant screened three string vertex. We carry out a sewing operation of these string vertices and derive the BRST invariant screened $g$-loop operator. The latter operator characterizes the higher genus structure of the theory. An analogous operator formalism for the topological minimal model is obtained as the limit $ l=0$ of the coset theory. We give some calculations of correlation functions on higher genus.
Full work available at URL: https://arxiv.org/abs/hep-th/9212118
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Quantization in field theory; cohomological methods (81T70)
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