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Non-rational conformal field theories and applications in string theory.

Abstract : This dissertation is devoted to the study of certain non-rational conformal field theories which arise in the context of string theory. In contrast to rational conformal field theories, which have been extensively studied in the past few decades, non-rational theories are not yet well-understood. A better understanding is crucial in order to get a good grip on string theory in non-compact curved backgrounds, and eventually to address cosmological issues. Since the dissertation relies heavily on Lie group theory and conformal field theory, detailed introductions to these fields are provided for the reader who may not be familiar with them. The dissertation then moves on to a detailed presentation of the work that was done in the course of the PhD. This work dealt with pp-waves with Heisenberg symmetry, a Verlinde-like formula in non-rational conformal field theories (for instance in H_3^+), and rigid open strings whose endpoints live on co-adjoint orbits of Lie algebras.
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Charles Jego. Non-rational conformal field theories and applications in string theory.. Physics [physics]. Ecole Polytechnique X, 2007. English. ⟨pastel-00002591⟩

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