A probabilistic approach of Liouville field theory
| Autor: | Rémi Rhodes, Vincent Vargas |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Institut Universitaire de France (IUF), Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche (M.E.N.E.S.R.), Institut Galilée (IG), Université Paris 13 (UP13) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
field theory: conformal
bootstrap: conformal Field (physics) fluctuation conformal bootstrap [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] Probabilistic logic General Physics and Astronomy Conformal map 4/3 01 natural sciences Representation theory 010305 fluids & plasmas Theoretical physics field theory: Liouville quantum gravity 0103 physical sciences Path integral formulation Quantum gravity Liouville field theory 010306 general physics 2D quantum gravity path integral Mathematics |
| Zdroj: | Comptes Rendus Physique Comptes Rendus Physique, 2020, 21 (6), pp.561-569. ⟨10.5802/crphys.43⟩ |
| DOI: | 10.5802/crphys.43⟩ |
| Popis: | International audience; In this article, we present the Liouville field theory, which was introduced in the eighties in physics by Polyakov as a model for fluctuating metrics in 2D quantum gravity, and outline recent mathematical progress in its study. In particular, we explain the probabilistic construction of this theory carried out by David–Kupiainen–Rhodes–Vargas in [] and how this construction connects to the modern and general approach of Conformal Field Theories in physics, called conformal bootstrap and based on representation theory. |
| Databáze: | OpenAIRE |
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