@article{657ffdffc6d2462db5ac63b136ada3e6,
title = "Toward a conformal field theory for Schramm-Loewner evolutions",
abstract = "We discuss the partition function point of view for chordal Schramm-Loewner evolutions and their relationship with correlation functions in conformal field theory. Both are closely related to crossing probabilities and interfaces in critical models in two-dimensional statistical mechanics. We gather and supplement previous results with different perspectives, point out remaining difficulties, and suggest directions for future studies.",
author = "Eveliina Peltola",
note = "Funding Information: I have benefited enormously from discussions with numerous people, and trying to list all of them would only result in forgetting to mention many important names. Special thanks belong to Julien Dub{\'e}dat and Gregory Lawler for inspiration and interesting discussions, as well as to Vincent Beffara, Steven Flores, Alex Karrila, Kalle Kyt{\"o}l{\"a}, and Hao Wu for fruitful collaboration and discussions. I have enjoyed very much my collaboration with Hao Wu on the probabilistic approach to the multiple SLE partition functions and their relation with critical lattice models, discussed in Sec. III and Appendixes B and C. Of special importance to Sec. IV is my joint work with Kalle Kyt{\"o}l{\"a}, whom I would like to thank also for introducing me to the subject in the first place. Finally, I wish to thank Abdelmalek Abdesselam for pointing out a connection to his work, which I briefly discuss in Sec. V. I cordially acknowledge the financial support of the ERC AG COMPASP, the NCCR SwissMAP, and the Swiss NSF. Publisher Copyright: {\textcopyright} 2019 Author(s).",
year = "2019",
month = oct,
day = "1",
doi = "10.1063/1.5094364",
language = "English",
volume = "60",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "10",
}