Discrete symmetries of complete intersection Calabi-Yau manifolds
(2017)
Abstract:
In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi- Yau manifolds and their quotients by freely-acting symmetries. These non-freely acting symmetries can appear as symmetries of low-energy theories resulting from string compactifications on these Calabi-Yau manifolds, particularly in the context of the heterotic string. Hence, our results are relevant for four-dimensional model building with discrete symmetries and they give an indication which symmetries of this kind can be expected from string theory. For the 1695 known quotients of complete intersection manifolds by freely-acting discrete symmetries, non-freely-acting, generic symmetries arise in 381 cases and are, therefore, a relatively common feature of these manifolds. We find that 9 different discrete groups appear, ranging in group order from 2 to 18, and that both regular symmetries and R-symmetries are possible.Holomorphic Yukawa couplings for complete intersection Calabi-Yau manifolds
JOURNAL OF HIGH ENERGY PHYSICS (2017) ARTN 119
Hodge numbers for all CICY quotients
Journal of High Energy Physics Springer 2017 (2017)
Abstract:
We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies on the computation of equivariant cohomologies and is illustrated for several explicit examples. In this way, we compute the Hodge numbers for all discrete quotients obtained in Braun’s classification.Yukawa unification in heterotic string theory
PHYSICAL REVIEW D 94:4 (2016) ARTN 046005
The family problem: hints from heterotic line bundle models
Journal of High Energy Physics Springer-Verlag Berlin Heidelberg (2016)