On a Conformal Field Theory Approach to Seiberg-witten Models

The use of conformal field theory tools in string theory is, of course, not new. However, with the advent of logarithmic conformal field theory (LCFT, see [1] and referecnes therein) we may have a better machinery to describe physics whose underlying structure is determined by the geometry of Riemannian manifolds, in particular Riemannian surfaces. This is especially the case in modern string theory with its new family members such as branes, M -theory and the resulting exactly solvable low-energy effective field theories.