Heterotic RG flow fixed points with non-diagonal affine invariants

Abstract

A number of issues related to the transition from exactly solvable models to Calabi-Yau manifolds via Landau-Ginzburg theories are discussed. Techniques for calculating the number of generations and anti-generations for diagonal as well as non-diagonal manifolds are described and agreement with the exact calculation is found. A class of weighted complete intersection Calabi-Yau manifolds is identified with Gepner models involving non-diagonal affine invariants. I indicate a new type of splitting which relates non-diagonal Calabi-Yau manifolds to diagonal ones.