Titlebook: A Mathematical Introduction to Conformal Field Theory; Based on a Series of Martin Schottenloher Book 19971st edition Springer-Verlag Berli

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A Mathematical Introduction to Conformal Field Theory978-3-540-70690-8Series ISSN 0940-7677

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Gerald L. Gutek,Patricia A. Gutek]. We will assume the Euclidean signature (+, +) on ?. (or on surfaces), as it is customary because of the close connection of conformal field theory to statistical mechanics (cf. [BPZ84] and [Gin89]).

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The Nature of our Contemporary Conditionit has close connections to string theory and other two-dimensional field theories in physics (cf. e.g. [LPSA94]). In particular, all massless field theories are conformally invariant. The special feature of conformal field theory in two dimensions is the existence of an infinite number of independe

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https://doi.org/10.1057/9781403984364e, every finite-dimensional Lie group . has a corresponding Lie algebra Lie . determined up to isomorphism, and every differentiable homomorphism . : . → . of Lie groups induces a Lie-algebra homomorphism Lie . = ? : Lie . → Lie .. Conversely, if . is connected and simply connected, every such Lie-a

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Gerald L. Gutek,Patricia A. Gutek. With respect to a suitable mathematical interpretation, the Verlinde formula gives the dimensions of spaces of generalized theta functions (cf. Sect. 10.1). These dimensions and their polynomial behavior (cf. Theorem 10.6) are of special interest in mathematics. Prior to the appearance of the Verl

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