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M-theory compactified on Calabi-Yau fourfolds with background flux
High Energy Physics - Theory · Submitted 9 Mar 2001
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The resulting scalar- and superpotential is computed and compared with the superpotential obtained by Gukov, Vafa and Witten using different methods.
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The abstract, sentence by sentence
We perform the Kaluza-Klein reduction of M-theory on warped Calabi-Yau fourfolds with non-trivial four-form flux turned on. The resulting scalar- and superpotential is computed and compared with the superpotential obtained by Gukov, Vafa and Witten using different methods.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We perform the Kaluza-Klein reduction of M-theory on warped Calabi-Yau fourfolds with non-trivial four-form flux turned on. | method 0.60 | 0.95 | 0.07 | asserted 1.00 |
| s1 | The resulting scalar- and superpotential is computed and compared with the superpotential obtained by Gukov, Vafa and Witten using different methods. | result 0.76 | 0.86 | 0.32 | asserted 1.00 |
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The paper
Original abstract
We perform the Kaluza-Klein reduction of M-theory on warped Calabi-Yau fourfolds with non-trivial four-form flux turned on. The resulting scalar- and superpotential is computed and compared with the superpotential obtained by Gukov, Vafa and Witten using different methods.
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References
How the literature uses it
45 arXiv papers cite this in 93 sentences
Papers citing it · 64 sentences without a confident label
Uses its method or tool 3 papers
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Using [ref], one performs the dimensional reduction of the classical part of [ref], see [ref] , and finds [equation] To rewrite expressions in terms of the quantities introduced in [ref] and [ref], one makes use of identities valid for the Hodge star $*_8$ evaluated on certain internal harmonic forms.
From M-theory higher curvature terms to \alpha' corrections in F-theory · Dimensional reduction of higher-curvature terms · 0.97
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We begin our analysis in Section [ref] with a derivation of the $K3×K3$ flux potential, which closely follows the generic Calabi-Yau derivation of [ref] .
F-Theory and the Landscape of Intersecting D7-Branes · Threefold cycles, obstructions and the intersection matrix · 0.83
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We begin our analysis in Section 2 with a derivation of the $K3×K3$ flux potential, which closely follows the generic Calabi-Yau derivation of [ref] .
Fixing D7 Brane Positions by F-Theory Fluxes · Introduction · 0.86
Compares with it 3 papers
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Indeed $K̃^M$ agrees precisely with the result found in [ref] from the M-theory reduction.
Aspects of Calabi-Yau Fourfold Compactifications · Comments on two-dimensional $=(2,2)$ supergravity · 0.97
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Nevertheless, one can compare this three-dimensional effective action with the one obtained by standard dimensional reduction of eleven-dimensional supergravity on a smoothed Calabi-Yau fourfold with flux [ref] .
Chiral anomalies on a circle and their cancellation in F-theory · M-theory reduction with $G_4$-flux · 0.88
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It is morally very close to arguments presented in other papers, as for instance in [ref] , in which the Kähler potential is also directly related to the volume-like pre-factor appearing in the dimensionally reduced Einsten-Hilbert term.
Warping the K\"ahler potential of F-theory/IIB flux compactifications · Kähler potential from warped volume · 0.89
Cites it as support 3 papers
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In fact, it contributes to the M2-tadpole thereby cancelling the self-dual part of $G_4$ in the tree-level scalar potential [ref] [ref] .
Systematics of the $\alpha'$ Expansion in F-Theory · Absence of divergences in known kinematic structures · 0.96
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As a result the contribution $V_W(φ,φ̅)$ to the scalar potential and the scalar potential itself vanishes [ref] , which describes, in the effective three-dimensional $𝒩=2$ supergravity theory, a supersymmetric Minkowski vacuum [ref] .
Modular Calabi-Yau Fourfolds and Connections to M-Theory Fluxes · Physics of Modular Calabi–Yau Fourfolds · 0.99
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This is indeed the case [ref] .
Les Houches Lectures on Constructing String Vacua · Effective potential · 1.00
Cites it as background 17 papers
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In the following we briefly review the dimensional reduction of eleven-dimensional supergravity on a Calabi-Yau fourfold $Y_4$ including $G_4$-flux [ref] .
Chiral anomalies on a circle and their cancellation in F-theory · M-theory reduction with $G_4$-flux · 0.84
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In this case they assume the standard form (see for example [ref] ) [equation] The first two conditions say that the $G_4$ is a (2,2)-form, while the last one implies $G_4$ is primitive.
Fixing D7 Brane Positions by F-Theory Fluxes · The Potential in Terms of $W$ and $W̌$ · 0.80
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F-Theory models with flux can be described as a limit of M-Theory compactifications on Calabi-Yau fourfolds, where the effect of a flux $G$ on the geometry is captured by the superpotentials [ref] [equation] The stationary points are characterized by $D_I W = D_k W̃ = 0$, where $I=1,…, h^3,1(X)$ and $k=1,…, h^1,1(X)$, which implies [equation] so that $G ∈H^2,2(X) ⊕H^4,0(X)$.
More on $G$-flux and General Hodge Cycles on the Fermat Sextic · Introduction · 0.90
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