Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $O(D,D)$-constraint on $D$-dimensional effective actions   Double Field Theory is a manifestly T-duality invariant formulation of string
theory in which the effective theory at any order of $\alpha'$ is invariant
under global $O(D,D)$ transformations and ought to be invariant under gauge
transformations which receive $\alpha'$-corrections. On the other hand, the
effective theory in the usual $D$-dimensional formulation of string theory is
manifestly gauge invariant and ought to be invariant under T-duality
transformations which receive $\alpha'$-corrections. We speculate that the
combination of these two constraints may fix both the $2D$-dimensional and the
$D$-dimensional effective actions without knowledge of the
$\alpha'$-corrections of the gauge and the T-duality transformations.
  In this paper, using generalized fluxes, we construct arbitrary
$O(D,D)$-invariant actions at orders $\alpha'^0$ and $\alpha'$, and then
dimensionally reduce them to the $D$-dimensional spacetime. On the other hand,
at these orders, we construct arbitrary covariant $D$-dimensional actions.
Constraining the two $D$-dimensional actions to be equal up to non-covariant
field redefinitions, we find that both actions are fixed up to overall factors
and up to field redefinitions.

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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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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: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph