Talk 9372 data/Fall

String Theory Seminar
Saturday, October 24, 2015, 3:20pm, Physics 128
Xin Gao (Virginia Tech)
Generalized Complete Intersection Calabi-Yau

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.

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