Pure type I supergravity and DE 10

Hillmann, Christian; Kleinschmidt, Axel

doi:10.1007/s10714-006-0352-8

Cited by 9 publications

(8 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At low energies this requires fitting the heterotic D = 10 supergravity with gauge groups SO(32) and E 8 ×E 8 into the E 10 σ-model or some more general model. As a first step it was shown in [19,31] that the pure type I supergravity (without any vector multiplets) can be interpreted as a subsector of the E 10 model. It would be gratifying to see a relation between the algebraic approach taken here and the issue of anomaly freedom.…”

Section: Discussionmentioning

confidence: 99%

Unifying R-Symmetry in M-Theory

Kleinschmidt

2009

New Trends in Mathematical Physics

Self Cite

View full text Add to dashboard Cite

In this contribution we address the following question: Is there a group with a fermionic presentation which unifies all the physical gravitini and dilatini of the maximal supergravity theories in D = 10 and D = 11 (without introducing new degrees of freedom)? The affirmative answer relies on a new mathematical object derived from the theory of Kac-Moody algebras, notably E 10 . It can also be shown that in this way not only the spectrum but also dynamical aspects of all supergravity theories can be treated uniformly.

show abstract

Section: Discussionmentioning

confidence: 99%

Unifying R-Symmetry in M-Theory

Kleinschmidt

2009

New Trends in Mathematical Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Besides these interesting points regarding the correspondence for the bosonic sectors of various supergravity theories it would be worthwhile to extend our new cases also to the fermionic sector. It is known that the maximally supersymmetric theories in D = 11 and D = 10 have propagating fermionic degress of freedom which can be grouped into finitedimensional (unfaithful) representations of K(E 11 ) [33,34,70] and also the half-maximal case has been analysed [71]. We strongly expect that the compact subalgebras of the quotient algebras presented here will also admit finite-dimensional spinor representations which correspond to the fermionic degrees of freedom of the various N ≤ 2 theories they belong to.…”

Section: Discussionmentioning

confidence: 99%

Extended symmetries in supergravity: the semi-simple case

Kleinschmidt

Roest

2008

J. High Energy Phys.

Self Cite

View full text Add to dashboard Cite

The bosonic sector of various supergravity theories reduces to a homogeneous space G/H in three dimensions. The corresponding algebras g are simple for (half-)maximal supergravity, but can be semi-simple for other theories. We extend the existing literature on the Kac-Moody extensions of simple Lie algebras to the semi-simple case. Furthermore, we argue that for N = 2 supergravity the simple algebras have to be augmented with an su(2) factor.

show abstract

“…These representations have been studied in [13] and [15]. We next analyze the spinor representations of K(DE 10 ), the involutory subalgebra of DE 10 which is related to the pure type I supergravity in 10 dimensions [36].…”

Section: The Simply-laced Casementioning

confidence: 99%

On spinorial representations of involutory subalgebras of Kac-Moody algebras

Kleinschmidt¹,

Nicolai²,

Viganò³

2018

Preprint

Self Cite

View full text Add to dashboard Cite

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. Nevertheless, certain distinguished such representations feature prominently in proposals of possible symmetries underlying M theory, both at the classical and the quantum level.Here we summarise recent efforts to study spinorial representations systematically, most notably for the case of the hyperbolic Kac-Moody algebra E 10 where spinors of the involutory subalgebra K(E 10 ) are expected to play a role in describing algebraically the fermionic sector of D = 11 supergravity and M theory. Although these results remain very incomplete, they also point towards the beginning of a possible explanation of the fermion structure observed in the Standard Model of Particle Physics.

show abstract

Pure type I supergravity and DE 10

Cited by 9 publications

References 38 publications

Unifying R-Symmetry in M-Theory

Unifying R-Symmetry in M-Theory

Extended symmetries in supergravity: the semi-simple case

On spinorial representations of involutory subalgebras of Kac-Moody algebras

Contact Info

Product

Resources

About