E11, SL(32) and central charges

By P. West. 2003

184 citations recorded by the source corpus.

Abstract We show that the E 11 representation that contains the space–time translation generators also contains the rank two and five totally anti-symmetric representations of A 10 . By studying the behaviour of these latter A 10 representations under SL(32), which we argue is contained in the Cartan involution invariant sub-algebra of E 11 , we find that the rank two and five totally anti-symmetric representations must be identified with the central charges of the eleven dimensional supersymmetry algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c94c61ee3e3fa0774db6c6ce7d28a140beaede28

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Double field theory of type II strings (2011, background): “Moreover, exceptional groups are of particular interest since they naturally combine fundamental and spinor representation, and in this context the Kac-Moody algebras E11 [23,35] and E10 [36,37] have been proposed.”
Supergravity as generalised geometry I: type II theories (2011, background): “In earlier work, West conjectured that a non-linear realisation of E11 underlies M theory [27].”
The local symmetries of M-theory and their formulation in generalised geometry (2011, background): “The construction in M-theory appears naturally and manifestly from the E11 programme initiated by West and then byWest and collaborators [6, 25–30].”
Supergravity as generalised geometry II: Ed(d) × ℝ+ and M theory (2014, background): “One might also expect a connection to special cases of the much broader non-linear E11 proposal of West [20–22], along the lines of the relation between Riemannian geometry and the nonlinear realisation of gravity due to Borisov and Ogievetsky [47].”
The E-11 origin of all maximal supergravities (2007, background): “From the E11 view point the brane charges are contained in the E11 multiplet whose first component is the space-time translations, this is just the fundamental representation of E11 which is associated with the node labelled one [65].”
M-theory, exceptional generalised geometry and superpotentials (2008, methodology): “be Spin(8) gamma matrices deﬁned in (A.9). We 3Note that, up to the (Λ7F∗)−1/2 factor, the same embedding of GL(7, R ) was identiﬁed in [74]. This followed from an analysis of E 11 representations in [57]. – 30 – can raise and lower SL(8, R ) indices using the metric ˆg. Similarly, spinor indices ca”
Duality invariant actions and generalised geometry (2011, methodology): “Spacetime can be introduced by considering the non-linear realisation of the semi-direct product of E11 with its a fundamental representation, usually called the first fundamental representation [2].”
Duality Symmetric String and M-Theory (2013, background): “11 programme which has been developed over a number of yearsby PeterWestand collaborators. Already in 2003 it was proposedto consider thenon-linearrealisationof E11 anditsﬁrstfundamentalrepresenations[243]. Thisintroduced a generalisation of our usual notion of spacetime to include additional coordi”