Séminaire GPP - Logarithmic correlation functions for critical dense polymers on the cylinder

by Alexi Morin-Duchesne

Wednesday 13 Nov 2019, 15:00 → 17:00 Europe/Brussels

CYCL.07 (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

We compute lattice correlation functions for the model of critical dense polymers on a cylinder of perimeter n. We find explicit expressions for these correlators for finite n in terms of integral formulae. We interpret these lattice results in terms of conformal four-point functions in a logarithmic conformal field theory with central charge c=-2. We derive differential equations satisfied by the conformal correlation functions, solve these equations in terms of hypergeometric functions, and find a perfect agreement with the lattice results.

 

This is joint work with Jesper L. Jacobsen.