Publications

Preprints

Virasoro algebra and Sugawara constructions formally in Lean arXiv

Kytölä, Kalle

Preprint (2025)

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

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

Preprint (2024)

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

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)

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)

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)

Boundary correlations in planar LERW and UST DOI · arXiv

Karrila, Alex, Kytölä, Kalle, Peltola, Eveliina

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

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)

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)

SLE boundary visits DOI · arXiv

Jokela, Niko, Järvinen, Matti, Kytölä, Kalle

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

Pure partition functions of multiple SLEs DOI · arXiv

Kytölä, Kalle, Peltola, Eveliina

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

Discrete holomorphicity and Ising model operator formalism DOI · arXiv

Hongler, Clément, Kytölä, Kalle, Zahabi, Ali

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

Ising interfaces and free boundary conditions DOI · arXiv

Hongler, Clément, Kytölä, Kalle

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

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)

On staggered indecomposable Virasoro modules DOI · arXiv

Kytölä, Kalle, Ridout, David

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

SLE local martingales in logarithmic representations DOI · arXiv

Kytölä, Kalle

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

Lecture Notes