Publications

Preprints

Virasoro algebra and Sugawara constructions formally in Lean arXiv

Kytölä, Kalle

Preprint (2025)

Slit-strip Ising boundary conformal field theory 2: Scaling limits of fusion coefficients arXiv

Ameen, Taha & Kytölä, Kalle & Park, S.C.

Preprint (2021)

Published Articles

Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT DOI arXiv

Adame-Carrillo, David & Behzad, Delara & Kytölä, Kalle

Proceedings of the London Mathematical Society (2026)

Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and Virasoro Structure DOI arXiv

Hongler, Clément & Kytölä, Kalle & Viklund, Fredrik

Communications in Mathematical Physics 395:1-58, 2022 (2022)

Slit-strip Ising boundary conformal field theory 1: Discrete and continuous function spaces DOI arXiv

Ameen, Taha & Kytölä, Kalle & Park, S.C. & Radnell, David

Mathematical Physics, Analysis and Geometry 25(30), 2022 (2022)

The quantum group dual of the first-row subcategory for the generic Virasoro VOA DOI arXiv

Koshida, Shinji & Kytölä, Kalle

Communications in Mathematical Physics 389:1135–1213, 2022 (2022)

Boundary correlations in planar LERW and UST DOI arXiv

Karrila, Alex & Kytölä, Kalle & Peltola, Eveliina

Communications in Mathematical Physics 376:2065-2145, 2020 (2020)

Conformally covariant boundary correlation functions with a quantum group DOI arXiv

Kytölä, Kalle & Peltola, Eveliina

Journal of the European Mathematical Society 22(1):55-118, 2019. (2019)

Conformal blocks, q-combinatorics, and quantum group symmetry DOI arXiv

Karrila, Alex & Kytölä, Kalle & Peltola, Eveliina

Annales de l’Institut Henri Poincaré D 6(3):449-487, 2019. (2019)

Pure partition functions of multiple SLEs DOI arXiv

Kytölä, Kalle & Peltola, Eveliina

Communications in Mathematical Physics 346:237-292, 2016. (2016)

SLE boundary visits DOI arXiv

Jokela, Niko & Järvinen, Matti & Kytölä, Kalle

Annales Henri Poincaré 17(6):1263-1330, 2016. (2016)

Discrete holomorphicity and Ising model operator formalism DOI arXiv

Hongler, Clément & Kytölä, Kalle & Zahabi, Ali

Contemporary Mathematics 644:79-115, 2015. (2015)

Hadamard’s formula and couplings of SLEs with free field DOI arXiv

Izyurov, Konstantin & Kytölä, Kalle

Probability Theory and Related Fields 155(1-2):35-69, 2013. (2013)

Ising interfaces and free boundary conditions DOI arXiv

Hongler, Clément & Kytölä, Kalle

Journal of the American Mathematical Society 26:1107-1189, 2013. (2013)

SLE local martingales in logarithmic representations DOI arXiv

Kytölä, Kalle

Journal of Statistical Mechanics: Theory and Experiment (P08005):1-39, 2009. (2009)

On staggered indecomposable Virasoro modules DOI arXiv

Kytölä, Kalle & Ridout, David

Journal of Mathematical Physics 50(123503), 2009. (2009)

LERW as an example of off-critical SLEs DOI arXiv

Bauer, Michel & Bernard, Denis & Kytölä, Kalle

Journal of Statistical Physics 132(4):721-754, 2008. (2008)

Virasoro module structure of local martingales of SLE variants DOI arXiv

Kytölä, Kalle

Reviews in Mathematical Physics 19(5):455-509, 2007. (2007)

SLE local martingales, reversibility and duality DOI arXiv

Kytölä, Kalle & Kemppainen, Antti

Journal of Physics A: Mathematical and General 39(46):L657-666, 2006. (2006)

On conformal field theory of SLE(kappa;rho) DOI arXiv

Kytölä, Kalle

Journal of Statistical Physics 123(6):1169-1181, 2006. (2006)

Multiple Schramm-Loewner evolutions and statistical mechanics martingales DOI arXiv

Bauer, Michel & Bernard, Denis & Kytölä, Kalle

Journal of Statistical Physics 120(5-6):1125-1163, 2005. (2005)

Elastic manifolds in disordered environments: energy statistics DOI arXiv

Kytola, K.P & Seppala, E.T, & Alava, M.J.

Europhysics Letters 62, 35-41, 2003. (2003)

Other texts

Todistuspeli PDF

Kalle Kytölä

Solmu 3/2021. (2021)

Lecture Notes