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Flux, Supersymmetry and M theory on 7-manifolds
High Energy Physics - Theory · Submitted 26 Jul 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim If the supersymmetry parameter is parallel in the unwarped metric, then supersymmetry requires that the warp factor is trivial, the background four-form field strength is zero and that the internal 7-manifold has $G_2$ holonomy (we assume the absence of boundaries and other impurities).
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The abstract, sentence by sentence
Various aspects of low energy M theory compactified to four dimensions are considered. If the supersymmetry parameter is parallel in the unwarped metric, then supersymmetry requires that the warp factor is trivial, the background four-form field strength is zero and that the internal 7-manifold has $G_2$ holonomy (we assume the absence of boundaries and other impurities). A proposal of Gukov - extended here to include M2-brane domain walls - for the superpotential of the compactified theory is shown to yield the same result. Finally, we make some speculative remarks concerning higher derivative corrections and supersymmetry breaking.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Various aspects of low energy M theory compactified to four dimensions are considered. | background 0.91 | 0.63 | 0.04 | asserted 0.65 |
| s1 | If the supersymmetry parameter is parallel in the unwarped metric, then supersymmetry requires that the warp factor is trivial, the background four-form field strength is zero and that the internal 7-manifold has $G_2$ holonomy (we assume the absence of boundaries and other impurities). | result 0.99 | 0.65 | 0.60 | asserted 0.99 |
| s2 | A proposal of Gukov - extended here to include M2-brane domain walls - for the superpotential of the compactified theory is shown to yield the same result. | result 0.56 | 0.84 | 0.14 | asserted 1.00 |
| s3 | Finally, we make some speculative remarks concerning higher derivative corrections and supersymmetry breaking. | future work 0.98 | 0.63 | 0.04 | speculative 0.91 |
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The paper
Original abstract
Various aspects of low energy M theory compactified to four dimensions are considered. If the supersymmetry parameter is parallel in the unwarped metric, then supersymmetry requires that the warp factor is trivial, the background four-form field strength is zero and that the internal 7-manifold has $G_2$ holonomy (we assume the absence of boundaries and other impurities). A proposal of Gukov - extended here to include M2-brane domain walls - for the superpotential of the compactified theory is shown to yield the same result. Finally, we make some speculative remarks concerning higher derivative corrections and supersymmetry breaking.
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References
How the literature uses it
10 arXiv papers cite this in 16 sentences
Papers citing it · 13 sentences without a confident label
Cites it as support 1 paper
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However, if the compactification space is compact and we want $𝒩=1$ supersymmetry in the effective theory, then the warp factor and G-Flux must vanish [ref] .
G$_{2}$-Manifolds and M-Theory Compactifications · Kaluza-Klein Reduction on G$_2$-Manifolds · 0.99
Cites it as background 2 papers
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In addition a scalar potential also emerges upon reduction – see refs [ref] for reductions with $G_2$-holonomy and refs [ref] for weak $G_2$-holonomy and cocalibrated –.
A second look at gauged supergravities from fluxes in M-theory · M-theory on $G_2$-manifolds with fluxes · 0.87
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More generally, the M-theory superpotential on manifolds with $2$ structure with flux has been discussed in a number of places [ref] .
Generalising G$_\text{2}$ geometry: involutivity, moment maps and moduli · $2$ in M-theory · 0.95
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