Nonlocal operator basis from the path representation of the M ( k + 1 , k + 2 ) and the M ( k + 1 , 2 k + 3 ) minimal models

Nonlocal operator basis from the path representation of the M(k + 1, k + 2) and the M(k + 1, 2k + 3) minimal models ABSTRACT We reinterpret a path describing a state in an irreducible module of the unitary minimal model M(k + 1, k + 2) in terms of a string of charged operators acting on the module's ground-state path. Each such operator acts non-locally on a path. The path characteristics are then translated into a set of conditions on sequences of operators that provide an operator basis. As an application, we re-derive the vacuum finite fermionic character by constructing the generating function of these basis states. These results generalize directly to the M(k + 1, 2k + 3) models, the close relatives of the unitary models in terms of path description.