Segal axioms and resolution of Liouville conformal field theory | Vidéo | Carmin.tv

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Segal axioms and resolution of Liouville conformal field theory

De Colin Guillarmou

Apparaît dans la collection : Geometry and analysis on non-compact manifolds / Géométrie et analyse sur les variétés non compactes

Liouville conformal field theory is a 2 dimensional field theory introduced in physics in the 80's. Here we give a probabilistic construction of the amplitudes of Riemann surfaces with boundary for this field theory, and we prove that they satisfy the so called Segal Axioms. This allows to decompose the correlation function of the theory using the diagonalisation of a certain operator, the Hamiltonian, using scattering theory. One can then show the formulas conjectured in physics in terms of conformal blocks. The spectral analysis, although in an infinite dimensional setting, has some similarities with scattering theory on symmetric spaces. This is joint work with Kupiainen, Rhodes and Vargas.

Informations sur la vidéo

Date de captation 28/03/2022
Date de publication 12/04/2022
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19902103
Citer cette vidéo Guillarmou, Colin (28/03/2022). Segal axioms and resolution of Liouville conformal field theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19902103
URL https://dx.doi.org/10.24350/CIRM.V.19902103

Domaine(s)

Bibliographie

GUILLARMOU, Colin, KUPIAINEN, Antti, RHODES, Rémi, et al. Conformal bootstrap in Liouville theory. arXiv preprint arXiv:2005.11530, 2020. - https://arxiv.org/abs/2005.11530
GUILLARMOU, Colin, KUPIAINEN, Antti, RHODES, Rémi, et al. Segal's axioms and bootstrap for Liouville Theory. arXiv preprint arXiv:2112.14859, 2021. - https://arxiv.org/abs/2112.14859

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