# Non-geometric Calabi-Yau backgrounds and K3 automorphisms

@article{Hull2017NongeometricCB, title={Non-geometric Calabi-Yau backgrounds and K3 automorphisms}, author={Christopher M. Hull and Dan Isra{\"e}l and Alessandra Sarti}, journal={Journal of High Energy Physics}, year={2017}, volume={2017}, pages={1-44} }

A bstractWe 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…

## 13 Citations

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## References

SHOWING 1-10 OF 64 REFERENCES

### Partial SUSY breaking for asymmetric Gepner models and non-geometric flux vacua

- Mathematics
- 2016

A bstractUsing the method of simple current extensions, asymmetric Gepner models of Type IIB with N$$ \mathcal{N} $$ = 1 space-time supersymmetry are constructed. The combinatorics of the massless…

### Mirrorfolds with K3 fibrations

- Physics, Mathematics
- 2008

We study a class of non-geometric string vacua realized as completely soluble superconformal field theory (SCFT). These models are defined as `interpolating orbifolds' of K3 × S1 by the mirror…

### A geometry for non-geometric string backgrounds

- Mathematics
- 2005

A geometric string solution has background fields in overlapping coordinate patches related by diffeomorphisms and gauge transformations, while for a non-geometric background this is generalised to…

### = 4 gauged supergravity from duality-twist compactifications of string theory

- Mathematics
- 2008

We investigate the lifting of half-maximal four-dimensional gauged supergravities to compactifications of string theory. It is shown that a class of such supergravities can arise from…

### FJRW-Rings and Mirror Symmetry

- Mathematics
- 2010

The Landau-Ginzburg Mirror Symmetry Conjecture states that for an invertible quasi-homogeneous singularity W and its maximal group G of diagonal symmetries, there is a dual singularity WT such that…

### Flux compactifications of string theory on twisted tori

- Mathematics
- 2009

Global aspects of Scherk‐Schwarz dimensional reduction are discussed and it is shown that it can usually be viewed as arising from a compactification on the compact space obtained by identifying a…

### Observations on the Moduli Space of Superconformal Field Theories

- Mathematics, Physics
- 1988

### Nongeometric Calabi-Yau compactifications and fractional mirror symmetry

- Mathematics
- 2015

We construct a wide class of non-geometric compactifications of type II superstring theories preserving N=1 space-time supersymmetry in four dimensions, starting from Calabi-Yau compactifications at…