2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197591SLE_k stochastic processes describe growth of random curves which, in some cases, may be identified with boundaries of two dimensional critical percolating clusters. By generalizing SLE_k growths to formal Markov processes on the central extension of the 2d conformal group, we establish a connection between conformal field theories with central charges c_k=(3k-8)(6/k-1)/2 and zero modes -- observables which are conserved in mean -- of the SLE_k stochastic processes.6 pages, minor changes leading to a clearer formulation, references addedMathematical PhysicsStatistical MechanicsHigh Energy Physics - TheoryProbabilityRepresentation Theorytext