Maximal unipotent monodromy for complete intersection CY manifolds

Abstract

The computations that are suggested by String Theory in the B model requires the existence of degenerations of CY manifolds with maximum unipotent monodromy. In String Theory such a point in the moduli space is called a large radius limit (or large complex structure limit). In this paper we are going to construct one parameter families of n dimensional Calabi-Yau manifolds, which are complete intersections in toric varieties and which have a monodromy operator T such that (T N - id ) n +1 = 0 but (T N - id ) n ≠ 0, i.e., the monodromy operator is maximal unipotent.