弗吉尼亚理工大学高昕博士报告
发布时间:2015.11.22
来源: 本站
报告人:弗吉尼亚理工大学 高昕 博士
报告题目:Generalized Complete Intersection Calabi-Yau (gCICY), Fibration and Instanton
时间:2015年12月22日星期二下午4点30分
地点:物理馆323室
报告摘要:We present a generalization of the complete intersection in products of
projective space (CICY) construction of Calabi-Yau manifolds. Their utility
stems from the fact that they can be simply described in terms of a
``configuration matrix'', a matrix of integers from which many of the details of
the geometries can be easily extracted. The generalization we present is to
allow negative integers in the configuration matrices which were previously
taken to have positive semi-definite entries. This broadening of the complete
intersection construction leads to a larger class of Calabi-Yau manifolds than
that considered in previous work. These new Calabi-Yau manifolds are complete
intersections in (not necessarily Fano) ambient spaces with an effective
anticanonical class. We find examples with topology distinct from any that has
appeared in the literature to date. The new manifolds thus obtained have many
interesting features. For example, we explore contributions to the
superpotential and the structure of instantons wrapping effective divisors in
Calabi-Yau fourfolds.