Orientifold CalabiYau threefolds with divisor involutions and string landscape
Abstract
We establish an orientifold CalabiYau threefold database for h^{1,1}(X) ≤ 6 by considering nontrivial &Z;_{2} divisor exchange involutions, using a toric CalabiYau database (www.rossealtman.com/tcy). We first determine the topology for each individual divisor (Hodge diamond), then identify and classify the proper involutions which are globally consistent across all disjoint phases of the Kähler cone for each unique geometry. Each of the proper involutions will result in an orientifold CalabiYau manifold. Then we clarify all possible fixed loci under the proper involution, thereby determining the locations of different types of Oplanes. It is shown that under the proper involutions, one typically ends up with a system of O3/O7planes, and most of these will further admit naive Type IIB string vacua. The geometries with freely acting involutions are also determined. We further determine the splitting of the Hodge numbers into odd/even parity in the orbifold limit. The final result is a class of orientifold CalabiYau threefolds with nontrivial odd class cohomology (h_{−1}^{,1}(X/σ^{*}) ≠ 0).
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2022
 DOI:
 10.1007/JHEP03(2022)087
 arXiv:
 arXiv:2111.03078
 Bibcode:
 2022JHEP...03..087A
 Keywords:

 Flux Compactifications;
 Differential and Algebraic Geometry;
 High Energy Physics  Theory
 EPrint:
 52 pages, 2 figures, 6 tables