We define bases for differentials with real weight λ on higher genus Riemann surfaces and the corresponding b-c systems. We generalize them by defining real weight bases and b-c systems describing spin field or vertex insertions at specified points of the Riemann surface. We use this formalism to calculate various kinds of correlation functions of λ-spin fields, for rational λ. We also compute the basic correlation functions of chiral vertex insertions in minimal models.
REAL WEIGHT B-C SYSTEMS AND CONFORMAL FIELD THEORY IN HIGHER GENUS
MATONE, MARCO;
1990
Abstract
We define bases for differentials with real weight λ on higher genus Riemann surfaces and the corresponding b-c systems. We generalize them by defining real weight bases and b-c systems describing spin field or vertex insertions at specified points of the Riemann surface. We use this formalism to calculate various kinds of correlation functions of λ-spin fields, for rational λ. We also compute the basic correlation functions of chiral vertex insertions in minimal models.
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