Local E(11)
| dc.creator | Riccioni, Fabio | |
| dc.creator | West, Peter | |
| dc.date | 2009-02-26 | |
| dc.date | 2009-03-16 | |
| dc.date.accessioned | 2026-07-07T13:12:05Z | |
| dc.date.available | 2026-07-07T13:12:05Z | |
| dc.description | We give a method of deriving the field-strengths of all massless and massive maximal supergravity theories in any dimension starting from the Kac-Moody algebra $E_{11}$. Considering the subalgebra of $E_{11}$ that acts on the fields in the non-linear realisation as a global symmetry, we show how this is promoted to a gauge symmetry enlarging the algebra by the inclusion of additional generators. We show how this works in eleven dimensions, and we call the resulting enlarged algebra $E_{11}^{local}$. Torus reduction to $D$ dimensions corresponds to taking a subalgebra of $E_{11}^{local}$, called $E_{11,D}^{local}$, that encodes the full gauge algebra of the corresponding $D$-dimensional massless supergravity. We show that each massive maximal supergravity in $D$ dimensions is a non-linear realisation of an algebra $\tilde{E}_{11,D}^{local}$. We show how this works in detail for the case of Scherk-Schwarz reduction of IIB to nine dimensions, and in particular we show how $\tilde{E}_{11,9}^{local}$ arises as a subalgebra of the algebra $E_{11,10B}^{local}$ associated to the ten-dimensional IIB theory. This subalgebra corresponds to taking a combination of generators which is different to the massless case. We then show that $\tilde{E}_{11,D}^{local}$ appears as a deformation of the massless algebra $E_{11,D}^{local}$ in which the commutation relations between the $E_{11}$ and the additional generators are modified. We explicitly illustrate how the deformed algebra is constructed in the case of massive IIA and of gauged five-dimensional supergravity. These results prove the naturalness and power of the method. | |
| dc.description | LaTeX file, 71 pages, 5 figures, references added, typos corrected | |
| dc.identifier | https://arxiv.org/abs/0902.4678 | |
| dc.identifier | http://arxiv.org/abs/0902.4678 | |
| dc.identifier | JHEP 0904:051,2009 | |
| dc.identifier | doi:10.1088/1126-6708/2009/04/051 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229484 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Local E(11) | |
| dc.type | text |