Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: E$_9$ exceptional field theory II. The complete dynamics   We construct the first complete exceptional field theory that is based on an
infinite-dimensional symmetry group. E$_9$ exceptional field theory provides a
unified description of eleven-dimensional and type IIB supergravity covariant
under the affine Kac-Moody symmetry of two-dimensional maximal supergravity. We
present two equivalent formulations of the dynamics, which both rely on a
pseudo-Lagrangian supplemented by a twisted self-duality equation. One
formulation involves a minimal set of fields and gauge symmetries, which
uniquely determine the entire dynamics. The other formulation extends
$\mathfrak{e}_9$ by half of the Virasoro algebra and makes direct contact with
the integrable structure of two-dimensional supergravity. Our results apply
directly to other affine Kac-Moody groups, such as the Geroch group of general
relativity.

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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org