Dual gravity and matter

Bergshoeff, Eric; Roo, M. de; Kerstan, Sven F.; Kleinschmidt, Axel; Riccioni, Fabio

doi:10.1007/s10714-008-0650-4

Cited by 21 publications

(34 citation statements)

References 24 publications

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“…11 In D = 10 dimensions this is a mixed symmetry potential A 7,1 which has 8 indices but is only antisymmetric in the first 7 indices. Although this dual graviton can only be defined for linearised gravity and linearised supersymmetry [37], upon reduction to 9 dimensions it gives rise to a solitonic 6-form and 7-form potential that are part of the non-linear 9-dimensional supergravity theory. These potentials are the duals of the KaluzaKlein (KK) vector and KK scalar, respectively.…”

Section: Discussionmentioning

confidence: 99%

String solitons and T-duality

Bergshoeff

Riccioni

2011

J. High Energ. Phys.

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175

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We construct for arbitrary dimensions a universal T-duality covariant expression for the Wess-Zumino terms of supersymmetric String Solitons in toroidally compactified string theories with 32 supercharges. The worldvolume fields occurring in the effective action of these String Solitons form either a vector or a tensor multiplet with 16 supercharges. We determine the dimensions of the conjugacy classes under T-duality to which these String Solitons belong. We do this in two steps. First, we determine the T-duality representations of the p-forms of maximal supergravities that contain the potentials that couple to these String Solitons. We find that these are p-forms, with D − 4 ≤ p ≤ 6 if D ≥ 6 and with D − 4 ≤ p ≤ D if D < 6, transforming in the antisymmetric representation of rank m = p + 4 − D ≤ 4 of the T-duality symmetry SO(10 − D, 10 − D). All branes support vector multiplets except when m = 10 − D. In that case the T-duality representation splits, for D < 10, into a selfdual and anti-selfdual part, corresponding to 5-branes supporting either a vector or a tensor multiplet. In a second step we show that only certain well-defined lightlike directions in the anti-symmetric tensor representations of the T-duality group correspond to supersymmetric String Solitons. These lightlike directions define the conjugacy classes. As a by-product we show how by a straightforward procedure all solitonic fields of maximal supergravity are derived using the Kac-Moody algebra E 11 .

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Section: Discussionmentioning

confidence: 99%

String solitons and T-duality

Bergshoeff

Riccioni

2011

J. High Energ. Phys.

Self Cite

175

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“…Equivalently, since the shift-gauge field Y will not contribute to possible matter terms added to (3.23), it can be integrated out as before, leading to the Einstein-Hilbert action augmented by these matter couplings. This circumvents the negative findings of [37], where it has been shown that in presence of matter the elimination of the graviton in favor of its dual is problematic even if gravity is treated linearly.…”

Section: Non-linear Dual Gravitymentioning

confidence: 95%

Nonlinear parent action and dual gravity

2008

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We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a 'kinetic' Einstein-Hilbert term, but via topological couplings, and so the theory does not lead to a doubling of degrees of freedom. The field equations take the form of first-order duality relations. We analyze the gauge symmetries and comment on their meaning with regard to the E 11 proposal. June 20081 nicolas.boulanger@sns.it; Work supported by a "Progetto Italia" fellowship. 2 o.hohm@rug.nl

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“…However, what is pertinent in this paper is the coupling of gravity to matter, in particular the 3-form of D = 11 supergravity and its 6-form dual, and, moreover, the supersymmetry transformation of a candidate dual gravity field. In this case, the dualisation of gravity becomes problematic even at the linearised level [42]. The supersymmetry transformations can be made to close in the presence of a linearised dual gravity field if one takes a linearised approximation where one has only global supersymmetry.…”

Section: = 11 Supergravity and Dualitymentioning

confidence: 99%

“…The supersymmetry transformations can be made to close in the presence of a linearised dual gravity field if one takes a linearised approximation where one has only global supersymmetry. However, the supersymmetry transformation is no longer consistent with the equations of motion, or in other words the dual graviton does not carry the same degrees of freedom as the graviton even in a flat background [42]. Furthermore, it is argued in [42] that, under assumptions of locality and Lorentz invariance, it is not possible to dualise a linearised graviton field coupled to matter.…”

Section: = 11 Supergravity and Dualitymentioning

confidence: 99%

“…However, the supersymmetry transformation is no longer consistent with the equations of motion, or in other words the dual graviton does not carry the same degrees of freedom as the graviton even in a flat background [42]. Furthermore, it is argued in [42] that, under assumptions of locality and Lorentz invariance, it is not possible to dualise a linearised graviton field coupled to matter. Nevertheless, we find that the completion of the E 7(7) matrix in eleven dimensions requires the existence of a field with the same representation as a dual gravity field.…”

Section: = 11 Supergravity and Dualitymentioning

confidence: 99%

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Generalised geometry from the ground up

Godazgar

Nicolai

2014

J. High Energ. Phys.

204

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Extending previous work on generalised geometry, we explicitly construct an E 7(7) -valued vielbein in eleven dimensions that encompasses the would be scalar bosonic degrees of freedom after reduction to four dimensions of D = 11 supergravity, by identifying new "generalised vielbeine" in eleven dimensions associated with the dual 6-form potential and the dual graviton. By maintaining full on-shell equivalence with the original theory at every step our construction furnishes the non-linear ansatz for the dual (magnetic) 7-form flux for any non-trivial compactification of D = 11 supergravity, complementing the known non-linear ansätze for the metric and the 4-form flux. A preliminary analysis of the generalised vielbein postulate for the new vielbein components reveals tantalising hints of new structures beyond D = 11 supergravity and ordinary space-time covariancxe, and also points to the possible D = 11 origins of the embedding tensor. We discuss the extension of these results to E 8(8) .

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Dual gravity and matter

Cited by 21 publications

References 24 publications

String solitons and T-duality

String solitons and T-duality

Nonlinear parent action and dual gravity

Generalised geometry from the ground up

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