Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local E(11)   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.

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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys