[Champs conformes, propriété de restriction, représentations dégénérées et SLE]
Nous relions le processus de Schramm–Loewner (SLE) à certaines représentations de plus haut poids dégénérées de l'algèbre de Virasoro. Les propriétés de restriction du SLE étudiées dans [19] s'avèrent être importantes pour établir ce lien. Par ailleurs, diverses considérations et relations de la théorie conforme des champs peuvent ainsi être interprétées en termes du SLE. Ceci permet de faire le lien entre les modèles issus de la physique statistique et la théorie conforme des champs.
We relate the Schramm–Loewner Evolution processes (SLE) to highest-weight representations of the Virasoro Algebra. The restriction properties of SLE that have been recently derived in [19] play a crucial role. In this setup, various considerations from conformal field theory can be interpreted and reformulated via SLE. This enables one to make a concrete link between the two-dimensional discrete critical systems from statistical physics and conformal field theory.
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@article{CRMATH_2002__335_11_947_0,
author = {Roland Friedrich and Wendelin Werner},
title = {Conformal fields, restriction properties, degenerate representations and {SLE}},
journal = {Comptes Rendus. Math\'ematique},
pages = {947--952},
publisher = {Elsevier},
volume = {335},
number = {11},
year = {2002},
doi = {10.1016/S1631-073X(02)02581-5},
language = {en},
}
TY - JOUR AU - Roland Friedrich AU - Wendelin Werner TI - Conformal fields, restriction properties, degenerate representations and SLE JO - Comptes Rendus. Mathématique PY - 2002 SP - 947 EP - 952 VL - 335 IS - 11 PB - Elsevier DO - 10.1016/S1631-073X(02)02581-5 LA - en ID - CRMATH_2002__335_11_947_0 ER -
Roland Friedrich; Wendelin Werner. Conformal fields, restriction properties, degenerate representations and SLE. Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 947-952. doi : 10.1016/S1631-073X(02)02581-5. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02581-5/
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