Abstract
We present a vast landscape of O3/O7 orientifolds that descends from the famous set of complete intersection Calabi-Yau threefolds (CICY). We give distributions of topological data relevant for phenomenology such as the orientifold-odd Hodge numbers, the D3-tadpole, and multiplicities of O3 and O7-planes. Somewhat surprisingly, almost all of these orientifolds have conifold singularities whose deformation branches are projected out by the orientifolding. However, they can be resolved, so most of the orientifolds actually descend from a much larger and possibly new set of CY threefolds that can be reached from the CICYs via conifold transitions. We observe an interesting class of mathcal{N} = 1 geometric transitions involving colliding O-planes. Finally, as an application, we use our dataset to produce examples of orientifolds that satisfy the topological requirements for the existence of ultra-light throat axions (thraxions) as proposed in [1]. The database can be accessed here: www.desy.de/∼westphal/orientifold webpage/cicy orientifolds.html.
Highlights
Be decoupled from one-another at the level of non-renormalizable operators, and how weak their self-interactions can be tuned
We present a vast landscape of O3/O7 orientifolds that descends from the famous set of complete intersection Calabi-Yau threefolds (CICY)
The starting point is the classic database of complete intersection CY (CICY) threefolds, as constructed by Candelas et al [15]
Summary
We display interesting features of the distributions we have obtained. (b) The orientifold-odd Hodge number h2−,1: this computes the number of bulk complex structure moduli that remain after the orientifold projection These have to be stabilized by three-form fluxes [2]. For each O7 plane, we compute the Euler characteristic of the wrapped divisor χD, and its degree dD ≡ D c1(D)2 These determine the induced D3 charge dissolved in the 7-branes, and the arithmetic genus χ(D, OD). We compute the generically much larger D3 tadpole for a generic D7-brane configuration for a subset of the orientifolds of smooth CICYs (see figure 4). Space that have pronounced boundaries that cannot be explained by the mere finiteness of our sample size Two more such structures are visible, where we display 3D histograms showing the number of orientifolds for each value of (QDSO3(8), χ) and for each value of (h2−,1, χ). It would be interesting to verify or refute this by finding orientifolds in other CY-datasets such as the Kreuzer-Skarke list [20]
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