Supersymmetric gauged double field theory: systematic derivation by virtue of twist

Cho, Wonyoung; Fernandez-Melgarejo, Jose J.; Jeon, Imtak; Park, Jeong-Hyuck

doi:10.1007/jhep08(2015)084

Cited by 27 publications

(51 citation statements)

References 64 publications

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“…The necessity of this extra constraint in the presence of RR fields had already been anticipated in [15,20] and had been verified by the analysis of [23]. As was mentioned in section 1, the constraints of the GDFT (of the NS-NS sector) are in one-to-one correspondence with the constraints of half-maximal gauged supergravities.…”

Section: Jhep09(2017)044supporting

confidence: 56%

“…In addition, the deformed RR sector is gauge invariant only when the Dirac operator is nilpotent, which in turn imposes an extra constraint on the fluxes that determine the deformations. The fact that such a constraint should arise in the presence of RR fields has already been noted in [20] and was verified in [23].…”

Section: Jhep09(2017)044supporting

confidence: 53%

“…All these constraints are also crucial for the consistency of the GDFT of the RR sector. In addition, we have shown here that the requirement of gauge invariance in the RR sector imposes the extra constraint (4.67), which also appeared in [23]. It is known that any half-maximal gauged supergravity that satisfies this constraint can be uplifted to maximal gauged supergavity [54,55].…”

Section: Jhep09(2017)044mentioning

confidence: 57%

“…This Dirac operator has already appeared in various papers before (e.g. [15,23,52]). It was shown in [52] that the Bianchi identities for the NS-NS fluxes are satisfied, only when this Dirac operator is nilpotent and the same condition arises here from the analysis of the gauge invariance of the GDFT of the RR sector.…”

Section: Jhep09(2017)044mentioning

confidence: 83%

“…Duality twisted reductions (or generalized Scherk-Schwarz reductions) are a generalization of Kaluza-Klein reductions, which introduces into the reduced theory mass terms for various fields, a non-Abelian gauge symmetry and generates a scalar potential for the scalar fields [18,19]. This is possible if the parent theory has a global symmetry G, and the reduction anzats for the fields in the theory is determined according to how they transform under G. It is natural to study duality twisted reductions of DFT, as it comes equipped with the large duality group O(n, n), and indeed this line of work has been pursued by many groups so far [20][21][22][23][24]. In [20,21] it was shown that the duality twisted reductions of DFT gives in 4 dimensions the electric bosonic sector of gauged N = 4 supergravity [25].…”

Section: Jhep09(2017)044mentioning

confidence: 99%

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Duality twisted reductions of Double Field Theory of Type II strings

Özer

2017

J. High Energ. Phys.

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We study duality twisted reductions of the Double Field Theory (DFT) of the RR sector of massless Type II theory, with twists belonging to the duality group Spin + (10, 10). We determine the action and the gauge algebra of the resulting theory and determine the conditions for consistency. In doing this, we work with the DFT action constructed by Hohm, Kwak and Zwiebach, which we rewrite in terms of the Mukai pairing: a natural bilinear form on the space of spinors, which is manifestly Spin(n, n) invariant. If the duality twist is introduced via the Spin + (10, 10) element S in the RR sector, then the NS-NS sector should also be deformed via the duality twist U = ρ(S), where ρ is the double covering homomorphism between P in(n, n) and O(n, n). We show that the set of conditions required for the consistency of the reduction of the NS-NS sector are also crucial for the consistency of the reduction of the RR sector, owing to the fact that the Lie algebras of Spin(n, n) and SO(n, n) are isomorphic. In addition, requirement of gauge invariance imposes an extra constraint on the fluxes that determine the deformations.

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Section: Jhep09(2017)044supporting

confidence: 56%

Section: Jhep09(2017)044supporting

confidence: 53%

Section: Jhep09(2017)044mentioning

confidence: 57%

Section: Jhep09(2017)044mentioning

confidence: 83%

Section: Jhep09(2017)044mentioning

confidence: 99%

See 3 more Smart Citations

Duality twisted reductions of Double Field Theory of Type II strings

Özer

2017

J. High Energ. Phys.

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New Gaugings and Non‐Geometry

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

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Abstract:We discuss the possible realisation in string/M theory of the recently discovered family of four-dimensional maximal SO(8) gauged supergravities, and of an analogous family of seven-dimensional half-maximal SO(4) gauged supergravities. We first prove a no-go theorem that neither class of gaugings can be realised via a compactification that is locally described by ten-or eleven-dimensional supergravity. In the language of Double Field Theory and its M theory analogue, this implies that the section condition must be violated. Introducing the minimal number of additional coordinates possible, we then show that the standard S 3 and S 7 compactifications of ten-and eleven-dimensional supergravity admit a new class of section-violating generalised frames with a generalised Lie derivative algebra that reproduces the embedding tensor of the SO (4) and SO (8) gaugings respectively. The physical meaning, if any, of these constructions is unclear. They highlight a number of the issues that arise when attempting to apply the formalism of Double Field Theory to non-toroidal backgrounds. Using a naive brane charge quantisation to determine the periodicities of the additional coordinates restricts the SO(4) gaugings to an infinite discrete set and excludes all the SO(8) gaugings other than the standard one.

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Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

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We study D ≥ 4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO(d−1−N ) structures, where d = 11−D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D ≥ 4 half-maximal warped AdS D and Minkowski D vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a (6 + N )-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N = 1 supergravity and another yielding six-dimensional N = (2, 0) SUGRA.

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Supersymmetric gauged double field theory: systematic derivation by virtue of twist

Cited by 27 publications

References 64 publications

Duality twisted reductions of Double Field Theory of Type II strings

Duality twisted reductions of Double Field Theory of Type II strings

New Gaugings and Non‐Geometry

Half‐Maximal Supersymmetry from Exceptional Field Theory

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