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Reflection Amplitudes in Conformal Field Theory and Integrable Systems

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Integrable Hierarchies and Modern Physical Theories

Part of the book series: NATO Science Series ((NAII,volume 18))

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Abstract

We calculate the normalization factors and reflection amplitudes in the W-invariant conformai quantum field theories. Using these CFT data we derive vacuum expectation values of exponential fields in affine Toda theories and related perturbed conformal field theories. We calculate also the asymptotics of cylindrically symmetric solutions of the classical Toda equations. The integrable boundary Toda theories are considered. We derive boundary reflection amplitudes in non-affine case and boundary one point functions in affine Toda theories. In the last section we describe the duality properties and calculate the reflection amplitudes in integrable deformed Toda theories.

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Fateev, V.A. (2001). Reflection Amplitudes in Conformal Field Theory and Integrable Systems. In: Aratyn, H., Sorin, A.S. (eds) Integrable Hierarchies and Modern Physical Theories. NATO Science Series, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0720-7_5

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  • DOI: https://doi.org/10.1007/978-94-010-0720-7_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6963-9

  • Online ISBN: 978-94-010-0720-7

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