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Gauged supergravities in 5 and 6 dimensions from generalised Scherk-Schwarz reductions
High Energy Physics - Theory · Submitted 3 Jan 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that the Scherk-Schwarz reduction of M-theory in the Berman-Perry duality invariant formalism to 6 and 5 dimensions reproduces the known structures of gauged supergravities that are normally associated to non-geometric compactifications.
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It is shown that the Scherk-Schwarz reduction of M-theory in the Berman-Perry duality invariant formalism to 6 and 5 dimensions reproduces the known structures of gauged supergravities that are normally associated to non-geometric compactifications. The local symmetries defined by the generalised Lie derivative reduce to gauge transformations that exactly match those given by the embedding tensor of gauged supergravity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It is shown that the Scherk-Schwarz reduction of M-theory in the Berman-Perry duality invariant formalism to 6 and 5 dimensions reproduces the known structures of gauged supergravities that are normally associated to non-geometric compactifications. | result 0.93 | 0.85 | 0.76 | asserted 1.00 |
| s1 | The local symmetries defined by the generalised Lie derivative reduce to gauge transformations that exactly match those given by the embedding tensor of gauged supergravity. | result 0.99 | 0.77 | 0.28 | asserted 1.00 |
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The paper
Original abstract
It is shown that the Scherk-Schwarz reduction of M-theory in the Berman-Perry duality invariant formalism to 6 and 5 dimensions reproduces the known structures of gauged supergravities that are normally associated to non-geometric compactifications. The local symmetries defined by the generalised Lie derivative reduce to gauge transformations that exactly match those given by the embedding tensor of gauged supergravity.
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References
How the literature uses it
37 arXiv papers cite this in 52 sentences
Papers citing it · 38 sentences without a confident label
Uses its method or tool 3 papers
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In what follows it proves convenient to turn to the so-called flux formulation of the scalar sector of exceptional field theory and to rewrite the above Lagrangian in terms of generalised fluxes as in [ref] .
Polyvector deformations in eleven-dimensional supergravity · Generalised flux formulation · 0.97
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In this section, we study reductions of the $O(p,q)$ enhanced double field theory via a generalized Scherk-Schwarz ansatz [ref] .
O(d+1,d+1) enhanced double field theory · Generalized Scherk-Schwarz reduction · 0.93
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This could be done by constructing truncation ansatze of string/M-theory to six dimensions using $SO(5,5)$ exceptional field theory given in [ref] and would lead to interesting holographic descriptions of maximal super Yang-Mills theory in five dimensions.
Supersymmetric domain walls in maximal 6D gauged supergravity III · Conclusions and discussions · 0.92
Compares with it 1 paper
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Hence, our approach should be contrasted with recent work [ref] aiming to construct the embedding tensor for non-geometric compactifications obtained by generalised Scherk-Schwarz reductions of extended generalised geometries.
The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions · Introduction · 0.99
Cites it as background 10 papers
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It has been applied to describe heterotic supergravity [ref] , type II supergravity [ref] by incorporating Ramond-Ramond sector, M-thoery [ref] and gauged DFT [ref] which corresponds to lower dimensional gauged supergravity [ref] .
Quadratic $\alpha'$-Corrections to Heterotic Double Field Theory · Introduction · 0.96
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Recent works have addressed the relaxation of the strong constraint in generalized Scherk-Schwarz reduction [ref] .
Towards Weakly Constrained Double Field Theory · Introduction · 0.98
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The classical examples of Scherk-Schwartz reductions [ref] on local group manifolds [ref] , together with the exceptional consistent truncations on spheres [ref] were unified as generalised Scherk-Schwartz reductions[For other examples of the use of generalised geometry and exceptional field theory in the context of generalised Scherk-Schwartz reductions, see [ref] . ] in [ref] using the language of generalised geometry.
Adjoint orbits, generalised parallelisable spaces and consistent truncations · Introduction · 0.94
What it cites · 34 sentences without a confident label
Builds on 1 paper
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Thus this work extends [ref] where the case d=4 was done in detail and the details for other dimensions were only sketched.
Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions · Conclusions and Discussion · 1.00
Cites as background 32 papers
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In this paper we consider $D=6$ [ref] and $D=5$ [ref] cases for which the vector fields of the un-gauged/abelian theory are in the spinor representation $16$ of $SO(5,5)≡E_5(5)$ and the fundamental representation $27$ of $E_6(6)$ respectively.
The Gaugings of Maximal D=6 Supergravity · The embedding tensor formalism in gauged supergravity · 0.83
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Since the review is very brief and doesn't cover all the details we refer the reader to the relevant papers [ref] and [ref] .
Lectures on Gauged Supergravity and Flux Compactifications · The embedding tensor formalism in gauged supergravity · 1.00
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Since the review is very brief and doesn't cover all the details we refer the reader to the relevant papers [ref] and [ref] .
Supergravities without an Action: Gauging the Trombone · The embedding tensor formalism in gauged supergravity · 1.00
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