• Corpus ID: 119459271

On K(E_9)

@article{Nicolai2004OnK,
  title={On K(E\_9)},
  author={Hermann Nicolai and H. Samtleben},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
We study the maximal compact subgroup K(E_9) of the affine Lie group E_9(9) and its on-shell realization as an R symmetry of maximal N=16 supergravity in two dimensions. We first give a rigorous definition of the group K(E_9), which lives on the double cover of the spectral parameter plane, and show that the infinitesimal action of K(E_9) on the chiral components of the bosons and the fermions is determined in terms of an expansion of the Lie algebra of K(E_9) about the two branch points of… 

Infinite-Dimensional Gauge Structure of d=2 N=16 Supergravity

Dimensional reduction of maximal supergravity to two dimensions leads to an infinite-dimensional (non-local) symmetry group W x E_9 which has a simpler action when the bosonic fields are dualised to

Invariance of 11-Dimensional Supergravity

The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a crucial role in the symmetry structure of M -theory. Recently, following the analysis of the asymptotic behaviour of the

Extended E8 invariance of 11-dimensional supergravity

The hyperbolic Kac-Moody algebra E10 has repeatedly been suggested to play a crucial role in the symmetry structure of M-theory. Recently, following the analysis of the asymptotic behaviour of the

Canonical structure of the E10 model and supersymmetry

A coset model based on the hyperbolic Kac–Moody algebra E10 has been conjectured to underly eleven-dimensional supergravity and M theory. In this note we study the canonical structure of the bosonic

Gradient representations and affine structures in AEn

We study the indefinite Kac–Moody algebras AEn, arising in the reduction of Einstein's theory from (n + 1) spacetime dimensions to one (time) dimension, and their distinguished maximal regular

Hidden symmetries and Dirac fermions

In this paper, two things are done. First, we analyse the compatibility of Dirac fermions with the hidden duality symmetries which appear in the toroidal compactification of gravitational theories

Kac-Moody algebras in M-theory

In this thesis, we consider several aspects of over-extended and very-extended Kac-Moody algebras in relation with theories of gravity coupled to matter. In the first part, we focus on the occurrence

On Spinorial Representations of Involutory Subalgebras of Kac–Moody Algebras

The representation theory of involutory (or ‘maximal compact’) subalgebras of infinite-dimensional Kac–Moody algebras is largely terra incognita, especially with regard to fermionic (double-valued)

Representations of Quantum Minimal Surface Algebrasvia Kac-Moody-theory

We consider epimorphisms from quantum minimal surface algebras onto involutroy subalgebras of split real simply-laced Kac-Moody algebras and provide examples of affine and finite type. We also

Representations of Involutory Subalgebras of Affine Kac–Moody Algebras

We consider the subalgebras of split real, non-twisted affine Kac–Moody Lie algebras that are fixed by the Cartan–Chevalley involution. These infinite-dimensional Lie algebras are not of Kac–Moody

References

SHOWING 1-10 OF 30 REFERENCES

The SO(8) supergravity

The topology of U-duality (sub)groups

We discuss the topology of the symmetry groups appearing in compactified (super)gravity, and discuss two applications. First, we demonstrate that for three-dimensional sigma models on a symmetric

Time-like T-duality algebra

When compactifying M- or type II string-theories on tori of indefinite space-time signature, their low energy theories involve sigma models on En(n)/Hn, where Hn is a not necessarily compact subgroup

On the Geroch Group

2014 The set of stationary, axially symmetric solutions of Einstein’s vacuum field equations is acted on by some infinite dimensional group (Geroch). A precise definition of this group is given as

Brane rotating symmetries and the fivebrane equations of motion

The ernst equation on a riemann surface

G+++ invariant formulation of gravity and M theories: Exact BPS solutions

We present a tentative formulation of theories of gravity with suitable matter content, including in particular pure gravity in D dimensions, the bosonic efiective actions of M-theory and of the

M-theory and E10: Billiards, Branes, and Imaginary Roots

Eleven dimensional supergravity compactified on $T^10$ admits classical solutions describing what is known as billiard cosmology - a dynamics expressible as an abstract (billiard) ball moving in the

The structure ofN=16 supergravity in two dimensions

We extend the previously constructed linear system forN=16 supergravity in two dimensions by including the unphysical gravitino degrees of freedom. This theory has a residualN=16 “superconformal”