Geodesic
Basis for solutions of the Benoit & Saint-Aubin PDEs with particular asymptotics properties
Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 1, pp. 1-73.

Voir la notice de l'article provenant de la source Numdam

Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

Applying the quantum group method developed in [50], we construct solutions to the Benoit & Saint-Aubin partial differential equations with boundary conditions given by specific recursive asymptotics properties. Our results generalize solutions constructed in [49, 55], known as the pure partition functions of multiple Schramm–Loewner evolutions. The generalization is reminiscent of fusion in conformal field theory, and our solutions can be thought of as partition functions of systems of random curves, where many curves may emerge from the same point.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/81
Classification : 81-XX, 16-XX, 33-XX, 35-XX
Keywords: BPZ partial differential equations, conformal field theory (CFT), Schramm–Loewner evolution (SLE), quantum group 
@article{AIHPD_2020__7_1_1_0,
     author = {Peltola, Eveliina},
     title = {Basis for solutions of the {Benoit} & {Saint-Aubin} {PDEs} with particular asymptotics properties},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {1--73},
     volume = {7},
     number = {1},
     year = {2020},
     doi = {10.4171/aihpd/81},
     zbl = {1437.81082},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpd/81/}
}
TY  - JOUR
AU  - Peltola, Eveliina
TI  - Basis for solutions of the Benoit & Saint-Aubin PDEs with particular asymptotics properties
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2020
SP  - 1
EP  - 73
VL  - 7
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/aihpd/81/
DO  - 10.4171/aihpd/81
LA  - en
ID  - AIHPD_2020__7_1_1_0
ER  - 
%0 Journal Article
%A Peltola, Eveliina
%T Basis for solutions of the Benoit & Saint-Aubin PDEs with particular asymptotics properties
%J Annales de l’Institut Henri Poincaré D
%D 2020
%P 1-73
%V 7
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/aihpd/81/
%R 10.4171/aihpd/81
%G en
%F AIHPD_2020__7_1_1_0
Peltola, Eveliina. Basis for solutions of the Benoit & Saint-Aubin PDEs with particular asymptotics properties. Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 1, pp. 1-73. doi : 10.4171/aihpd/81. http://geodesic.mathdoc.fr/articles/10.4171/aihpd/81/

Cité par Sources :