Symplectic deformations of gauged maximal supergravity

Dall’Agata, Gianguido; Inverso, Gianluca; Marrani, Alessio

doi:10.1007/jhep07(2014)133

Cited by 85 publications

(202 citation statements)

References 74 publications

(270 reference statements)

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“…For the S 7 case, we found that there were no global solutions other than that giving the standard

ω = 0

geometrical

prefixitalicSO (8)

gauging of []. It was shown in [] that the gauging parameters should be continuous, thus even for the

prefixitalicSO (4)

case we seem to be missing some of the possible gaugings.…”

Section: Discussionmentioning

confidence: 98%

“…The de Wit–Nicolai theory famously arises as a consistent truncation of eleven‐dimensional supergravity on a round seven‐sphere . A natural question is whether all the theories in the family can be realised in higher‐dimensional supergravity, or, more generally, as string or M theory backgrounds, a possibility that has been investigated by a number of authors …”

Section: Introductionmentioning

confidence: 99%

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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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“…For the S 7 case, we found that there were no global solutions other than that giving the standard

ω = 0

geometrical

prefixitalicSO (8)

gauging of []. It was shown in [] that the gauging parameters should be continuous, thus even for the

prefixitalicSO (4)

case we seem to be missing some of the possible gaugings.…”

Section: Discussionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

New Gaugings and Non‐Geometry

Lee

Strickland‐Constable

Waldram

2017

Fortschritte der Physik

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“…The gaugings of supergravities have revealed the importance of the choice of duality frame, in the sense that the space of consistent deformations depends on that choice (see [18,19] and the recent analysis in [20,21]). In order to take this feature into account, a formalism has been developed in [22][23][24][25], called the "embedding tensor" formalism.…”

Section: Jhep02(2018)064mentioning

confidence: 99%

“…It is in this sense that these variants of the double potential formalism are equivalent, but of course not locally so. The third and fourth set of equations can be written as 20) where …”

Section: Jhep02(2018)064mentioning

confidence: 99%

Deformations of vector-scalar models

Barnich

Boulanger

Henneaux

et al. 2018

J. High Energ. Phys.

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Abelian vector fields non-minimally coupled to uncharged scalar fields arise in many contexts. We investigate here through algebraic methods their consistent deformations ("gaugings"), i.e., the deformations that preserve the number (but not necessarily the form or the algebra) of the gauge symmetries. Infinitesimal consistent deformations are given by the BRST cohomology classes at ghost number zero. We parametrize explicitly these classes in terms of various types of global symmetries and corresponding Noether currents through the characteristic cohomology related to antifields and equations of motion. The analysis applies to all ghost numbers and not just ghost number zero. We also provide a systematic discussion of the linear and quadratic constraints on these parameters that follow from higher-order consistency. Our work is relevant to the gaugings of extended supergravities.

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“…symplectic transformations also provide an example of pseudo-dualities in supergravity [54] 3 this coset was recently exploited in the analysis of the so-called symplectic deformations of gauged N = 8, D = 4 supergravity [55], later extended to other supergravity theories 4 We will always consider the "large, real charge" supergravity limit within BHQC. In the case of (dyonic) quantized charges, the analysis of FTSs is more complicated, and a full classification of U-duality orbits is not even currently available (for some advances along this venue, and lists of references, cf., e.g., [25,57]).…”

Section: Introductionmentioning

confidence: 99%

Peccei–Quinn Transformations and Black Holes: Orbit Transmutations and Entanglement Generation

2017

Self Cite

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Abstract:In a recent paper (Mod. Phys. Lett. A 2015, 30, 1550104), the black-hole/qubit correspondence (BHQC) was exploited to define "black hole quantum circuits" allowing for a change of the supersymmetry-preserving features of electromagnetic charge configurations supporting the black hole solution. This resulted in switching from one U-duality orbit to another, or equivalently, from an element of the corresponding Freudenthal triple system with a definite rank to another one. On the supergravity side of BHQC, such quantum gates are related to particular symplectic transformations acting on the black hole charges; namely, such transformations cannot belong to the U-duality group, otherwise switching among orbits would be impossible. In this paper, we consider a particular class of such symplectic transformations, namely the ones belonging to the so-called Peccei-Quinn symplectic group, introduced some time ago within the study of very special Kähler geometries of the vector multiplets' scalar manifolds in N = 2 supergravity in D = 4 spacetime dimensions.

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Symplectic deformations of gauged maximal supergravity

Cited by 85 publications

References 74 publications

New Gaugings and Non‐Geometry

New Gaugings and Non‐Geometry

Deformations of vector-scalar models

Peccei–Quinn Transformations and Black Holes: Orbit Transmutations and Entanglement Generation

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