Dual Double Field Theory

Abstract

We present the dual formulation of double field theory at the linearized level. This is a classically equivalent theory describing the duals of the dilaton, the Kalb-Ramond field and the graviton in a T-duality or O(D,D) covariant way. In agreement with previous proposals, the resulting theory encodes fields in mixed Young-tableau representations, combining them into an antisymmetric 4-tensor under O(D,D). In contrast to previous proposals, the theory also requires an antisymmetric 2-tensor and a singlet, which are not all pure gauge. The need for these additional fields is analogous to a similar phenomenon for "exotic" dualizations, and we clarify this by comparing with the dualizations of the component fields. We close with some speculative remarks on the significance of these observations for the full non-linear theory yet to be constructed.

38 pages, v2: refs. added, to appear in JHEP

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Cited by in corpus (25)

• The Odd story of ${\alpha }^{\prime }$-corrections
• Beyond E11
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• ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-graded mechanics: the classical theory
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• Weaving the Exotic Web
• The Exceptional Sigma Model
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• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Black hole thermodynamics, stringy dualities and double field theory
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• Doubled strings, negative strings and null waves
• Wrapping rules (in) string theory
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• Unfolding $E_{11}$
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• Duality rules for more mixed-symmetry potentials