English

Maximal Unipotent Monodromy for Complete Intersection CY Manifolds

Algebraic Geometry 2007-05-23 v1 High Energy Physics - Theory

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 nn dimensional Calabi-Yau manifolds, which are complete intersections in toric varieties and which have a monodromy operator TT such that (TNid)n+1=0^{N}-id)^{n+1}=0 but (TNid)n0,^{N}-id)^{n}\neq0, i.e the monodromy operator is maximal unipotent.

Keywords

Cite

@article{arxiv.math/0008061,
  title  = {Maximal Unipotent Monodromy for Complete Intersection CY Manifolds},
  author = {Bong H. Lian and Andrey Todorov and Shing-Tung Yau},
  journal= {arXiv preprint arXiv:math/0008061},
  year   = {2007}
}

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Latex 33 pages