# Heterotic orbifold models on Lie lattice with discrete torsion

@article{Takahashi2007HeteroticOM, title={Heterotic orbifold models on Lie lattice with discrete torsion}, author={Kei-jiro Takahashi}, journal={arXiv: High Energy Physics - Theory}, year={2007} }

We provide a new class of Z_N x Z_M heterotic orbifolds on non-factorisable tori, whose boundary conditions are defined by Lie lattices. Generally, point groups of these orbifolds are generated by Weyl reflections and outer automorphisms of the lattices. We classify abelian orbifolds with and without discrete torsion. Then we find that some of these models have smaller Euler numbers than those of models on factorisable tori T^2 x T^2 x T^2. There is a possibility that these orbifolds provide…

## 9 Citations

### Mirage Torsion

- Mathematics
- 2007

: Z N × Z M orbifold models admit the introduction of a discrete torsion phase. We ﬁnd that models with discrete torsion have an alternative description in terms of torsionless models. More…

### Discrete R-symmetry anomalies in heterotic orbifold models

- Geology
- 2007

Anomalies of discrete R symmetries appearing in heterotic orbifold models are studied. We find that the mixed anomalies for different gauge groups satisfy the universal Green-Schwarz condition,…

### Oddness from rigidness

- Mathematics
- 2008

We revisit the problem of constructing type IIA orientifolds on T6/2 × 2 which admit (non)-factorisable lattices. More concretely, we consider a 2 × 2' orientifold with discrete torsion, where…

### Orientifold's landscape: non-factorisable six-tori

- Mathematics
- 2007

We construct type IIA orientifolds on T6/2 × 2 which admit non factorisable lattices. We describe a method to deal with this kind of configurations and discuss how the compactification lattice…

### Grand Unification in the Heterotic Brane World

- Mathematics
- 2008

The compactification of the heterotic string on six-dimensional orbifolds is reviewed. Some important technical aspects of their construction are clarified and new parameters, called generalized…

### Revisiting coupling selection rules in heterotic orbifold models

- Physics
- 2011

A bstractWe study L-point couplings between twisted sector fields in heterotic orbifold compactifications, using conformal field theory. Selection rules provide an easy way to identify which…

### Towards low energy physics from the heterotic string

- Physics
- 2009

We investigate orbifold compactifications of the heterotic string, addressing in detail their construction, classification and phenomenological potential. We present a strategy to search for models…

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