67 citations · 147 across the 8 of their papers we have counts for
9 papers
Virasoro algebra and Sugawara constructions formally in Lean
Kalle Kytölä
We formalize in Lean certain calculational proofs about infinite-dimensional Lie algebras. Specifically, we construct the Virasoro algebra as a central extension of the Witt algebr…
Fock space of local fields of the discrete GFF and its scaling limit bosonic CFT
David Adame-Carrillo, Delara Behzad, Kalle Kytölä
To connect conformal field theories (CFT) to probabilistic lattice models, recent works [HKV22, Ada23] have introduced a novel definition of local fields of the lattice models. Loc…
Slit-strip Ising boundary conformal field theory 2: Scaling limits of fusion coefficients
Taha Ameen, Kalle Kytölä, S. C. Park
This is the second in a series of three articles about recovering the full algebraic structure of a boundary conformal field theory (CFT) from the scaling limit of the critical Isi…
Discrete holomorphicity and Ising model operator formalism
Clément Hongler, Kalle Kytölä, Ali Zahabi
We explore the connection between the transfer matrix formalism and discrete complex analysis approach to the two dimensional Ising model. We construct a discrete analytic continua…
On Staggered Indecomposable Virasoro Modules
Kalle Kytölä, David Ridout
In this article, certain indecomposable Virasoro modules are studied. Specifically, the Virasoro mode L_0 is assumed to be non-diagonalisable, possessing Jordan blocks of rank two.…
SLE local martingales in logarithmic representations
Kalle Kytölä
A space of local martingales of SLE type growth processes forms a representation of Virasoro algebra, but apart from a few simplest cases not much is known about this representatio…