# Mirrorfolds with K3 fibrations

@article{Kawai2007MirrorfoldsWK, title={Mirrorfolds with K3 fibrations}, author={Shinsuke Kawai and Yuji Sugawara}, journal={Journal of High Energy Physics}, year={2007}, volume={2008}, pages={065-065} }

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 transformation acting on the K3 fiber combined with the half-shift on the S1-base. They are variants of the T-folds, the interpolating orbifolds by T-duality transformations, and thus may be called `mirrorfolds'. Starting with arbitrary (compact or non-compact) Gepner models for the K3 fiber, we construct…

## 26 Citations

### Non-geometric Calabi-Yau backgrounds and K3 automorphisms

- Mathematics
- 2017

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…

### = 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…

### Non-geometric backgrounds based on topological interfaces

- Mathematics
- 2015

A bstractWe study simple models of the world-sheet CFTs describing non-geometric backgrounds based on the topological interfaces, the ‘gluing condition’ of which imposes T-duality- or analogous…

### Lie algebra lattices and strings on T-folds

- Mathematics
- 2016

A bstractWe study the world-sheet conformal field theories for T-folds systematically based on the Lie algebra lattices representing the momenta of strings. The fixed point condition required for the…

### Non-supersymmetric asymmetric orbifolds with vanishing cosmological constant

- Physics
- 2016

A bstractWe study type II string vacua defined by torus compactifications accompanied by T-duality twists. We realize the string vacua, specifically, by means of the asymmetric orbifolding associated…

### Localized Modes in Type II and Heterotic Singular Calabi-Yau Conformal Field Theories

- Mathematics
- 2008

We consider type II and heterotic string compactifications on an isolated singularity in the noncompact Gepner model approach. The conifold-type ADE noncompact Calabi-Yau threefolds, as well as the…

### Flux compactifications, twisted tori and doubled geometry

- Mathematics
- 2009

In [1] an O(D,D)-covariant sigma model describing the embedding of a closed world-sheet into the 2D-dimensional twisted torus was proposed. Such sigma models provide a universal description of string…

### More on non-supersymmetric asymmetric orbifolds with vanishing cosmological constant

- Physics, Mathematics
- 2016

A bstractWe explore various non-supersymmetric type II string vacua constructed based on asymmetric orbifolds of tori with vanishing cosmological constant at the one loop. The string vacua we present…

### The geometry, branes and applications of exceptional field theory

- Physics
- 2020

This is a review of exceptional field theory: a generalisation of Kaluza-Klein theory that unifies the metric and $p$-form gauge field degrees of freedom of supergravity into a generalised or…

## References

SHOWING 1-10 OF 100 REFERENCES

### Generalised T-duality and non-geometric backgrounds

- Mathematics
- 2006

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux…

### Flux compactifications of M-theory on twisted tori

- Mathematics, Physics
- 2006

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if…

### Worldsheet CFTs for Flat Monodrofolds

- Physics
- 2006

We resolve a puzzle in the theory of strings propagating on locally flat spacetimes with nontrivial Wilson lines for stringy Z_N gauge symmetries. We find that strings probing such backgrounds are…

### Twisting K3 × T2 orbifolds

- Mathematics
- 2007

We construct a class of geometric twists of Calabi-Yau manifolds of Voisin-Borcea type (K3 × T2)/2 and study the superpotential in a type IIA orientifold based on this geometry. The twists modify the…

### Modular invariant critical superstrings on four-dimensional Minkowski space times two-dimensional black hole

- Mathematics
- 2000

Extending the seminal work of Bilal and Gervais, we construct a tachyon-free, modular invariant partition function for critical superstrings on four-dimensional Minkowski × two-dimensional black…

### 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…

### Gepner-like description of a string theory on a noncompact singular Calabi–Yau manifold

- Mathematics
- 2001

### Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy

- Mathematics, Physics
- 1989