In both string theory and soliton theory, they use moduli spaces are frequently used.
As far as iI known, for soliton theory, moduli spaces are something like collective coordinates for solitons, and for string theory, moduli spaces is the spaces of all metrices divided by all conformal rescalings and diffeomorphisms.
It It seems, the like these two definitiondefinitions(?) of moduli spaces are quite different, but they havethe same terminology is used in both cases. Also i I also learned that the terminology moduli spaces arename 'moduli spaces' comes from abstract geometry, but I don't know if that's any help here.
Is thereMy question is the following: Could anyone who can distinguish this terminology in moreprovide an intuitive connection between the two uses of moduli spaces, or highlight the differences?