Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes

Mario Trigiante; Riccardo D'Auria; Sergio Ferrara

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Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes

Riccardo D'Auria, Sergio Ferrara, Mario Trigiante

High Energy Physics - Theory · Submitted 16 Nov 2005

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The authors' main claim We present the supersymmetric completion of the M-theory free differential algebra resulting from a compactification to four dimensions on a twisted seven-torus with 4-form and 7-form fluxes turned on.

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arXiv IDhep-th/0511158 (version 2)

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CitationMario Trigiante, Riccardo D'Auria, Sergio Ferrara. "Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes." arXiv:hep-th/0511158 (2005). https://pith.science/paper/3ADNIBQL

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.08 · mentions code or data availability 0.02.

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We present the supersymmetric completion of the M-theory free differential algebra resulting from a compactification to four dimensions on a twisted seven-torus with 4-form and 7-form fluxes turned on. The super--curvatures are given and the local supersymmetry transformations derived. Dual formulations of the theory are discussed in connection with classes of gaugings corresponding to diverse choices of vacua. This also includes seven dimensional compactifications on more general spaces not described by group manifolds.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present the supersymmetric completion of the M-theory free differential algebra resulting from a compactification to four dimensions on a twisted seven-torus with 4-form and 7-form fluxes turned on.	contribution 0.99	0.94	0.77	asserted 1.00
s1	The super--curvatures are given and the local supersymmetry transformations derived.	result 0.60	0.94	0.16	asserted 1.00
s2	Dual formulations of the theory are discussed in connection with classes of gaugings corresponding to diverse choices of vacua.	contribution 0.89	0.76	0.08	asserted 0.95
s3	This also includes seven dimensional compactifications on more general spaces not described by group manifolds.	contribution 0.95	0.67	0.07	asserted 0.99

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Original abstract

We present the supersymmetric completion of the M-theory free differential algebra resulting from a compactification to four dimensions on a twisted seven-torus with 4-form and 7-form fluxes turned on. The super--curvatures are given and the local supersymmetry transformations derived. Dual formulations of the theory are discussed in connection with classes of gaugings corresponding to diverse choices of vacua. This also includes seven dimensional compactifications on more general spaces not described by group manifolds.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Spheres, generalised parallelisability and consistent truncations
hep-th 2014-01 conditional novelty 7.0 of 10

All round spheres admit generalised parallelisations with an SO(d+1) frame algebra, recasting the exceptional S^3, S^4, S^5 and S^7 consistent truncations as ordinary generalised Scherk-Schwarz reductions.
Flux Compactifications of M-Theory on Twisted Tori
hep-th 2006-03 conditional novelty 7.0 of 10

The bosonic sector of gauged supergravities from M-theory on twisted tori with flux is derived for arbitrary dimension, with conditions for a full compactification and a check of equivalence to universal gauged superg...
Twisted tori and fluxes: a no go theorem for Lie groups of weak G_2 holonomy
hep-th 2006-03 conditional novelty 6.0 of 10

No seven-dimensional Lie group admits weak G2 holonomy, so no unwarped, source-free M-theory compactification of the form AdS4 times a group manifold with nontrivial internal flux exists.
On the vacua of N = 8 gauged supergravity in 4 dimensions
hep-th 2011-12 conditional novelty 5.0 of 10

Varying the embedding tensor at the origin of the coset manifold turns the search for N=8 supergravity vacua into algebraic conditions, yielding about a dozen new analytic vacua with full mass spectra.
Lectures on Gauged Supergravity and Flux Compactifications
hep-th 2008-08 accept novelty 2.0 of 10

The notes review a duality-covariant embedding-tensor construction that organizes gauged supergravities and maps geometric and non-geometric flux parameters to deformations of maximal and half-maximal supergravity.

Show 1 more citing papers

Duality Symmetric String and M-Theory
hep-th 2013-06 accept

The paper is a review that connects the doubled worldsheet, Double Field Theory, and exceptional generalised geometry as one program for making T- and U-duality manifest.

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2 arXiv papers cite this in 8 sentences

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Compares with it 1 paper

Now, the components of $X_$ in terms of GL(7) indices can be simply read off by comparing equation [ref] and equations [ref]–[ref] listed above [For brevity, we have left out a factor of the gauge coupling $g$ in these expressions.] [equation] The components of $X_$ presented above agree in their general form with the components given already in the literature [ref] .

The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions · Generalised vielbein postulates and the embedding tensor · 1.00

Cites it as background 1 paper

In this paper, we study Scherk-Schwarz [ref] [In fact, the essential idea of reducing on a group manifold appears in [ref] ; for a useful historical account of Kaluza-Klein theory see [ref] .] reductions of $D=11$ supergravity with background flux [ref] within the context of the formalism developed in [ref] .

The embedding tensor of Scherk-Schwarz flux compactifications from eleven dimensions · Introduction · 0.82

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