Maximal Unipotent Monodromy for Complete Intersection CY Manifolds
نویسندگان
چکیده
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 − id) = 0 but (T − id) 6= 0, i.e the monodromy operator is maximal unipotent.
منابع مشابه
The Rigidity of Families of Projective Calabi-yau Manifolds
In this paper, author studies the rigidity of the family of Calabi-Yau manifolds via the main tools: Variation of Hodge Structure and Higgs bundle. He Shows that some important families are rigid,for example : Lefschetz pencils of odd dimensional Calabi-Yau manifolds are rigid; Strong degenerated families are rigid;the families of CY manifolds admitting a degeneration with maximal unipotent mon...
متن کاملThe Rigidity of Families of Polarized Calabi-Yau Manifolds
In this paper,we study the Shafarevich conjecture for moduli space of polarized Calabi-Yau manifolds and obtain some results on the rigidity of families of Calabi-Yau manifolds. We use variation of Hodge structure and Higgs bundle to establish a criterion for rigidity and apply it to show some important families of Calabi-Yau manifolds are rigid,for examples: Lefschetz pencils of Calabi-Yau man...
متن کاملOn Generalized Hypergeometric Equations and Mirror Maps
This paper deals with generalized hypergeometric differential equations of order n ≥ 3 having maximal unipotent monodromy at 0. We show that, among these equations, those leading to mirror maps with integral Taylor coefficients at 0 (up to simple rescaling) have special parameters, namely R-partitioned parameters. This result yields the classification of all generalized hypergeometric different...
متن کاملDel Pezzo singularities and SUSY breaking
An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found. We present complete intersection CY manifolds for all del Pezzo singularities and study the complex deformations of these singularities. An example of the quintic CY manifold with del Pezzo 6 singularity and some number of conifold singularities is studied in details. The possibilities for the ’geome...
متن کاملVanishing cycle sheaves of one-parameter smoothings
We study the vanishing cycles of a one-parameter smoothing of a complex analytic space and show that the weight filtration on its perverse cohomology sheaf of the highest degree is quite close to the monodromy filtration so that its graded pieces have a modified Lefschetz decomposition. We also describe its primitive part using the weight filtration on the perverse cohomology sheaves of the con...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000