Non-geometric Calabi-Yau Backgrounds and K3 automorphisms

Abstract

We consider compactifications of type IIA superstring theory on mirror-folds obtained as K3 fibrations over two-tori with non-geometric monodromies involving mirror symmetries. At special points in the moduli space these are asymmetric Gepner models. The compactifications are constructed from non-geometric automorphisms that arise from the diagonal action of an automorphism of the K3 surface and of an automorphism of the mirror surface. We identify the corresponding gaugings of N=4 supergravity in four dimensions, and show that the minima of the potential describe the same four-dimensional low-energy physics as the worldsheet formulation in terms of asymmetric Gepner models. In this way, we obtain a class of Minkowski vacua of type II string theory which preserve N=2 supersymmetry. The massless sector consists of N=2 supergravity coupled to 3 vector multiplets, giving the STU model. In some cases there are additional massless hypermultiplets.

48 pages, no figures; v2: few typos corrected, one rephrased statement in subsection 5.2

References in corpus (7)

• The maximal D=4 supergravities
• Gauged N=4 supergravities
• Gauged Supergravities in Various Spacetime Dimensions
• N=4 Gauged Supergravity from Duality-Twist Compactifications of String Theory
• Mirrorfolds with K3 Fibrations
• The Asymmetric CFT Landscape in D=4,6,8 with Extended Supersymmetry
• Partial SUSY Breaking for Asymmetric Gepner Models and Non-geometric Flux Vacua

Cited by in corpus (11)

• Non-geometric backgrounds in string theory
• On de Sitter Spacetime and String Theory
• Species scale, worldsheet CFTs and emergent geometry
• Stringy Bubbles Solve de Sitter Troubles
• Heterotic/type II Duality and Non-Geometric Compactifications
• Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual Vacua
• Gravitational couplings in $\mathcal{N}=2$ string compactifications and Mathieu Moonshine
• Flat equivariant gerbes: holonomies and dualities
• Black holes in string theory with duality twists
• On Stringy de Sitter Spacetimes
• Moduli spaces of non-geometric type II/heterotic dual pairs