# E(10) orbifolds

@article{Brown2004E10O, title={E(10) orbifolds}, author={Jeffrey Brown and Surya Ganguli and Ori J. Ganor and Craig Helfgott}, journal={Journal of High Energy Physics}, year={2004}, volume={0506}, pages={057} }

We study Z2 orbifolds of M-theory in terms of E10. We find a simple relation between the Z2 action on E10 and the imaginary root that corresponds [hepth/0401053] to the “twisted sector” branes. We discuss the connection between the Kac-Moody algebra DE10 and the “untwisted” sector, and we demonstrate how DE18 can describe both the untwisted and twisted sectors simultaneously.

## 12 Citations

### Geometric configurations, regular subalgebras of E10 and M-theory cosmology

- Mathematics
- 2006

We re-examine previously found cosmological solutions to eleven-dimensional supergravity in the light of the E10-approach to M-theory. We focus on the solutions with non zero electric field…

### Maximal supergravities and the E10 Coset model

- Mathematics
- 2006

The maximal rank hyperbolic Kac–Moody algebra 𝔢10 has been conjectured to play a prominent role in the unification of duality symmetries in string and M-theory. We review some recent developments…

### Pure type I supergravity and DE10

- Physics
- 2006

We establish a dynamical equivalence between the bosonic part of pure type I supergravity in D = 10 and a D = 1 non-linear σ-model on the Kac–Moody coset space DE10/K(DE10) if both theories are…

### Maximal supergravities and the E10 model

- Mathematics
- 2006

The maximal rank hyperbolic Kac-Moody algebra e10 has been conjectured to play a prominent role in the unification of duality symmetries in string and M theory. We review some recent developments…

### Hidden Borcherds symmetries in Bbb Zn orbifolds of M-theory and magnetized D-branes in type 0' orientifolds

- Mathematics
- 2006

We study T11−D−q × Tq/n orbifold compactifications of eleven-dimensional supergravity and M-theory using a purely algebraic method. Given the description of maximal supergravities reduced on square…

### Curvature corrections and Kac–Moody compatibility conditions

- Mathematics
- 2006

We study possible restrictions on the structure of curvature corrections to gravitational theories in the context of their corresponding Kac–Moody algebras, following the initial work on E10 in…

### Fermionic Kac-Moody billiards and supergravity

- Physics
- 2009

We study the ``fermionic billiards'', i.e. the chaotic dynamics of the gravitino, that arise in the near-spacelike-singularity limit of eleven-dimensional supergravity and of its dimensional…

### Spacelike Singularities and Hidden Symmetries of Gravity

- MathematicsLiving reviews in relativity
- 2008

It is shown that in this limit the gravitational theory can be reformulated in terms of billiard motion in a region of hyperbolic space, revealing that the dynamics is completely determined by a (possibly infinite) sequence of reflections, which are elements of a Lorentzian Coxeter group.

### Coxeter group structure of cosmological billiards on compact spatial manifolds

- Mathematics
- 2008

We present a systematic study of the cosmological billiard structures of Einstein-p-form systems in which all spatial directions are compactified on a manifold of nontrivial topology. This is…

### Arithmetic and Hyperbolic Structures in String Theory

- Mathematics
- 2010

This thesis consists of an introductory text followed by two separate parts which may be read independently of each other. In Part I we analyze certain hyperbolic structures arising when studying…

## References

SHOWING 1-10 OF 85 REFERENCES

### Orientifold points in M theory

- Physics
- 1999

We identify the lift to M theory of the four types of orientifold points, and show that they involve a chiral fermion on an orbifold fixed circle. From this lift, we compute the number of…

### Strings on orbifold lines

- Mathematics
- 2001

The orbifold lines IIA/Script I8 and IIB/Script I8(-1)FL possess BPS discrete torsion variants which carry fundamental string (NSNS) charge. We show that these variants are actually classified by an…

### E11, K11 and EE11

- Mathematics
- 2004

In the study of conjecture on M-theory as a non-linear realization E 11 /K 11 we present arguments for the following: 1)roots of K 11 coincide with the roots of Kac-Moody algebra EE 11 with Dynkin…

### On the M-theory Interpretation of Orientifold Planes

- Mathematics
- 1998

We obtain an M--theory interpretation of different IIA orientifold planes by compactifying them on a circle and use a chain of dualities to get a new IIA limit of these objects using this circle as…