Symplectic fermions in general domains

In this note, we construct a logarithmic conformal field theory in general domains of the complex plane. The theory of interest is the symplectic fermions because of its links to models of statistical mechanics. We provide an explicit construction of its space of fields as a logarithmic Fock space, and discuss its logarithmic structure as a representation of the Virasoro algebra at $c=-2$. The correlation functions of the theory are explicitly constructed following the ideas of the conformal bootstrap.
Comment: 34 pages, 4 figures