Maximal Unipotent Monodromy for Complete Intersection CY Manifolds

Bong H. Lian Brandeis University Andrey Todorov University of California Santa Cruz Shing-Tung Yau Harvard University

mathscidoc:1608.01030

2000
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 $(T^N −id)^n \ne 0$, i.e the monodromy operator is maximal unipotent.
Maximal Unipotent Monodromy, CY Manifolds, Complete Intersection
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@inproceedings{bong2000maximal,
  title={Maximal Unipotent Monodromy for Complete Intersection CY Manifolds },
  author={Bong H. Lian, Andrey Todorov, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828171602075940495},
  year={2000},
}
Bong H. Lian, Andrey Todorov, and Shing-Tung Yau. Maximal Unipotent Monodromy for Complete Intersection CY Manifolds . 2000. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160828171602075940495.
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