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. 
View PDF on arXiv
12 Citations
Highly Influential Citations
2
Background Citations
3
Results Citations
2

Figures from this paper

12 Citations

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

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

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

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

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

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

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

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

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

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

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

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…

Orbifolds of M-theory

Strings on world-sheet orbifolds

Duality and orbifolds

Five-branes and M theory on an orbifold

Strings on orbifold lines

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

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

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…

A hyperbolic Kac-Moody algebra from supergravity

The heterotic string and a fermionic construction of the E8 Kac-Moody algebra

...