Titlebook: Conformal Field Theory; Philippe Francesco,Pierre Mathieu,David Sénéchal Textbook 1997 Springer-Verlag New York, Inc. 1997 High-Energy Phy

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Transition to Adulthood: Introduction,in this chapter is to present a detailed study of its continuum limit, in the framework of conformally invariant (free fermionic or bosonic) field theories. After reviewing basic facts on the statistical-mechanical model, we concentrate on its continuum fermionic representation. This framework is pa

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https://doi.org/10.1007/BFb0074073 and their applications to conformal field theory. However, it turns out that in many respects the theory of affine Lie algebras is a natural extension of the theory of simple Lie algebras, and as such cannot be studied efficiently in isolation. This is an immediate motivation for devoting a complet

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Parties and Party Systems in Eastern Europe,generating algebra. Such models are somewhat peculiar among conformal field theories in that they can be formulated directly in terms of an action. We will thus introduce them by means of this action and show how to extract from it their algebraic structure, which provides them with an alternative a

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Introductioneir belief that celestial bodies followed perfectly circular orbits, demonstrated an attachment to the circle as the most symmetric curve of all. In elaborating more complex systems involving scores of epicycles and eccentrics, they gave up the idea that celestial orbits should be explicitly symmetr

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Global Conformal Invariancen Sect. 4.1, with their generators and commutation relations. The conformal group in dimension . is identified with the noncompact group .(. + 1,1). In Sect. 4.2 we study the action of a conformal transformation on fields, at the classical level. The notion of a quasi-primary field is defined. We re