 Although the Loewner differential equation in these two cases look different, they are equivalent up to changes of variables as the unit circle and the upper half plane are conformally equivalent.However a conformal equivalence between them does not preserve the Brownian motion on their boundaries used to drive Schramm–Loewner evolution.When SLE corresponds to some conformal field theory, the parameter "κ" is related to the central charge "c"
of the conformal field theory by

Each value of "c" "κ" "γ" being on the left of fixed point formula_13 was computed by 

where formula_15 is the Gamma function and formula_16 is the hypergeometric function.