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Four-Flux and Warped Heterotic M-Theory Compactifications
High Energy Physics - Theory · Submitted 18 Dec 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim However, the bound does not require an {\it ad hoc} truncation of the orbifold-size any longer.
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The abstract, sentence by sentence
In the framework of heterotic M-theory compactified on a Calabi-Yau threefold 'times' an interval, the relation between geometry and four-flux is derived {\it beyond first order}. Besides the case with general flux which cannot be described by a warped geometry one is naturally led to consider two special types of four-flux in detail. One choice shows how the M-theory relation between warped geometry and flux reproduces the analogous one of the weakly coupled heterotic string with torsion. The other one leads to a {\it quadratic} dependence of the Calabi-Yau volume with respect to the orbifold direction which avoids the problem with negative volume of the first order approximation. As in the first order analysis we still find that Newton's Constant is bounded from below at just the phenomenologically relevant value. However, the bound does not require an {\it ad hoc} truncation of the orbifold-size any longer. Finally we demonstrate explicitly that to leading order in $\kappa^{2/3}$ no Cosmological Constant is induced in the four-dimensional low-energy action. This is in accord with what one can expect from supersymmetry.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In the framework of heterotic M-theory compactified on a Calabi-Yau threefold 'times' an interval, the relation between geometry and four-flux is derived {\it beyond first order}. | contribution 0.96 | 0.90 | 0.22 | asserted 1.00 |
| s1 | Besides the case with general flux which cannot be described by a warped geometry one is naturally led to consider two special types of four-flux in detail. | contribution 0.75 | 0.55 | 0.06 | asserted 0.73 |
| s2 | One choice shows how the M-theory relation between warped geometry and flux reproduces the analogous one of the weakly coupled heterotic string with torsion. | result 0.69 | 0.76 | 0.12 | asserted 0.99 |
| s3 | The other one leads to a {\it quadratic} dependence of the Calabi-Yau volume with respect to the orbifold direction which avoids the problem with negative volume of the first order approximation. | result 0.94 | 0.90 | 0.23 | asserted 0.99 |
| s4 | As in the first order analysis we still find that Newton's Constant is bounded from below at just the phenomenologically relevant value. | result 1.00 | 0.88 | 0.18 | asserted 1.00 |
| s5 | However, the bound does not require an {\it ad hoc} truncation of the orbifold-size any longer. | result 0.85 | 0.86 | 0.17 | asserted 1.00 |
| s6 | Finally we demonstrate explicitly that to leading order in $\kappa^{2/3}$ no Cosmological Constant is induced in the four-dimensional low-energy action. | result 0.98 | 0.94 | 0.20 | asserted 1.00 |
| s7 | This is in accord with what one can expect from supersymmetry. | interpretation 1.00 | 0.17 | 0.06 | hedged possibility 0.81 |
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Original abstract
In the framework of heterotic M-theory compactified on a Calabi-Yau threefold 'times' an interval, the relation between geometry and four-flux is derived {\it beyond first order}. Besides the case with general flux which cannot be described by a warped geometry one is naturally led to consider two special types of four-flux in detail. One choice shows how the M-theory relation between warped geometry and flux reproduces the analogous one of the weakly coupled heterotic string with torsion. The other one leads to a {\it quadratic} dependence of the Calabi-Yau volume with respect to the orbifold direction which avoids the problem with negative volume of the first order approximation. As in the first order analysis we still find that Newton's Constant is bounded from below at just the phenomenologically relevant value. However, the bound does not require an {\it ad hoc} truncation of the orbifold-size any longer. Finally we demonstrate explicitly that to leading order in $\kappa^{2/3}$ no Cosmological Constant is induced in the four-dimensional low-energy action. This is in accord with what one can expect from supersymmetry.
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References
How the literature uses it
9 arXiv papers cite this in 17 sentences
Papers citing it · 14 sentences without a confident label
Cites it as background 3 papers
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Considering vanishing 4-form flux $G_4$ along the interval direction, $G_MNPQ11=0$, the 11d metric takes the form [ref] [equation] with $h_mn$ the CY metric and $x^11∈[0,π]$.
The dark dimension, proton decay, and the length of the M-theory interval · Estimates in the full 11d theory · 0.84
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The $N=1$ supersymmetric compactification of heterotic M-theory down to four dimensions takes place on a seven-manifold $×$, built out of a Calabi-Yau threefold $$ which is fibered, via a warp-factor, along the orbifold interval $$ [ref] , [ref] .
Large Gravitational Waves and Lyth Bound in Multi Brane Inflation · Multi M5-Brane Inflation · 1.00
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In view of the difficulties that the KKLMMT scenario currently presents for the embedding of brane inflation into string theory, it might be interesting to look for qualitatively distinct scenarios such as multi brane inflation [ref] , [ref] in heterotic M-theory which is based on phenomenologically very interesting flux compactifications [ref] , [ref] , [ref] or related constructions in heterotic string theory [ref] .
Chasing Brane Inflation in String-Theory · Comments and Conclusions · 0.90
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