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• W3100926041 endingPage "051" @default.
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• W3100926041 abstract "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 E11. Considering the subalgebra of E11 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 E11local. Torus reduction to D dimensions corresponds to taking a subalgebra of E11local, called E11,Dlocal, 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 11,Dlocal. 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 11,9local arises as a subalgebra of the algebra E11,10Blocal 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 11,Dlocal appears as a deformation of the massless algebra E11,Dlocal in which the commutation relations between the E11 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." @default.
• W3100926041 created "2020-11-23" @default.
• W3100926041 creator A5067655312 @default.
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• W3100926041 date "2009-04-14" @default.
• W3100926041 modified "2023-09-27" @default.
• W3100926041 title "Local<i>E</i>₁₁" @default.
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• W3100926041 doi "https://doi.org/10.1088/1126-6708/2009/04/051" @default.
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