Théorie de Liouville et gravitation quantique: du couplage faible au couplage fort

Details Théorie de Liouville et gravitation quantique: du couplage faible au couplage fort Théorie de Liouville et gravitation quantique: du couplage faible au couplage fort

1995-03-24

arxiv.org/abs/hep-th/9503167v1

Physics

High Energy Physics

High Energy Physics - Theory

108 pages, in french. PHD Thesis about Liouville Theory

Scientific paper

The first chapters introduce briefly conformal theories, Moore and Seiberg polynomial equations and Gervais-Neveu quantization of Liouville theory. The next chapters present the original results of this thesis. First, the algebra of the chiral components is completely elucidated, both in the Bloch wave and in the Quantum Group basis. Then, in the strong coupling regime, the proof of the truncation theorem of Gervais to real weight operators for C = 7, 13, 19 is completed, especially including fractionnal spins. In this strong coupling regime, the new cosmological term yields a real string susceptibility equal to the real part of the KPZ formula. And eventually the N-point functions of a strongly coupled topological model are obtained.

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