Polymers, Percolation and Logarithmic Minimal Models
Polymers and percolation in two dimensions are examples of fundamental statistical systems exhibiting nonlocal degrees of freedom. This non-locality has profound effects on the statistical behavior of these systems compared to simple (rational) theories with local degrees of freedom. An overview is given of the description of critical dense polymers and critical percolation as logarithmic Conformal Field Theories with an emphasis on critical exponents and conformal dimensions. In addition, generalized models of polymers and percolation in the form of logarithmic minimal models are described which can be solved exactly off-criticality.