|
Résumé |
In the two-dimensional O(n) and Potts models, some observables can be computed
as weighted sums over configurations of non-intersecting loops.
I will define weighted sums associated to a large class of combinatorial maps,
also known as ribbon graphs, fatgraphs or rotation systems. Given a map with $N$
vertices, this yields a function of the moduli of the corresponding punctured
Riemann surface, which I will call an $N$-point correlation function.
I will conjecture that in the critical limit, such correlation functions form a
basis of solutions of certain conformal bootstrap equations. They include all
correlation functions of the O(n) and Potts models, and correlation functions
that do not belong to any known model.
[The talk will also be streamed online, please ask the organizers for the
link.] |
