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- W2040883357 abstract "We present a general formalism for conformal field theories defined on a non-Archimedean field. Such theories are defined by complex-valued correlation functions of fields of a [Formula: see text]-adic variable. Conformal invariance is imposed by requiring the correlation functions to be unchanged under fractional linear transformations, the latter forming the full analogue of the conformal group in two-dimensional, euclidean space-time. All fields in the theory can be taken to be primary, under the non-Archimedean conformal group. The conformal symmetry fixes completely the form of all correlation functions, once we are given the weight-spectrum of the theory and the OPE coefficients (which must be the structure constants of certain commutative, associative algebras). We explicitly construct non-Archimedean CFT's having the same weight spectrum as that of Archimedean models of central charge c < 1. The OPE coefficients of these local Archimedean and non-Archimedean models are related by adelic formulae." @default.
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- W2040883357 date "1989-11-10" @default.
- W2040883357 modified "2023-09-24" @default.
- W2040883357 title "NONARCHIMEDEAN CONFORMAL FIELD THEORIES" @default.
- W2040883357 doi "https://doi.org/10.1142/s0217751x89002065" @default.
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