Warped compactification on curved manifolds

Ishwaree P. Neupane

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Warped compactification on curved manifolds

Ishwaree P. Neupane

High Energy Physics - Theory · Submitted 23 Jun 2010

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Here, we show that the above conclusion does not extend to a general class of warped compactifications in classical supergravity that allow a non-compact direction or cosmological solutions for which the internal space is asymptotic to a cone over a product of compact Einstein spaces or spheres.

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v5. Results and the main claim are underlined; show every role.

The characterization of a six- (or seven)-dimensional internal manifold with metric as having positive, zero or negative curvature is expected to be an important aspect of warped compactifications in supergravity. In this context, Douglas and Kallosh recently pointed out that a compact internal space with negative curvature could help to construct four-dimensional de Sitter solutions only if the extra dimensions are strongly warped or there are large stringy corrections. That is, the problem of finding 4-dimensional de Sitter solutions is well posed, if all extra dimensions are physically compact, which is called a no-go theorem. Here, we show that the above conclusion does not extend to a general class of warped compactifications in classical supergravity that allow a non-compact direction or cosmological solutions for which the internal space is asymptotic to a cone over a product of compact Einstein spaces or spheres. For clarity, we present classical solutions that compactify higher-dimensional spacetime to produce a Robertson--Walker universe with de Sitter-type expansion plus one extra non-compact direction. Such models are found to admit both an effective four-dimensional Newton constant that remains finite and a normalizable zero-mode graviton wavefunction. We also exhibit the possibility of obtaining 4D de Sitter solutions by including the effect of fluxes (p-form field strengths).

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The characterization of a six- (or seven)-dimensional internal manifold with metric as having positive, zero or negative curvature is expected to be an important aspect of warped compactifications in supergravity.	background 1.00	0.04	0.03	hedged possibility 0.85
s1	In this context, Douglas and Kallosh recently pointed out that a compact internal space with negative curvature could help to construct four-dimensional de Sitter solutions only if the extra dimensions are strongly warped or there are large stringy corrections.	background 1.00	0.03	0.04	hedged possibility 0.97
s2	That is, the problem of finding 4-dimensional de Sitter solutions is well posed, if all extra dimensions are physically compact, which is called a no-go theorem.	background 0.98	0.06	0.05	asserted 0.98
s3	Here, we show that the above conclusion does not extend to a general class of warped compactifications in classical supergravity that allow a non-compact direction or cosmological solutions for which the internal space is asymptotic to a cone over a product of compact Einstein spaces or spheres.	contribution 0.58	0.85	0.88	asserted 1.00
s4	For clarity, we present classical solutions that compactify higher-dimensional spacetime to produce a Robertson--Walker universe with de Sitter-type expansion plus one extra non-compact direction.	contribution 0.77	0.90	0.13	asserted 0.98
s5	Such models are found to admit both an effective four-dimensional Newton constant that remains finite and a normalizable zero-mode graviton wavefunction.	result 0.99	0.94	0.11	asserted 1.00
s6	We also exhibit the possibility of obtaining 4D de Sitter solutions by including the effect of fluxes (p-form field strengths).	result 0.79	0.90	0.09	hedged possibility 0.89

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v5

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C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The characterization of a six- (or seven)-dimensional internal manifold with metric as having positive, zero or negative curvature is expected to be an important aspect of warped compactifications in supergravity. In this context, Douglas and Kallosh recently pointed out that a compact internal space with negative curvature could help to construct four-dimensional de Sitter solutions only if the extra dimensions are strongly warped or there are large stringy corrections. That is, the problem of finding 4-dimensional de Sitter solutions is well posed, if all extra dimensions are physically compact, which is called a no-go theorem. Here, we show that the above conclusion does not extend to a general class of warped compactifications in classical supergravity that allow a non-compact direction or cosmological solutions for which the internal space is asymptotic to a cone over a product of compact Einstein spaces or spheres. For clarity, we present classical solutions that compactify higher-dimensional spacetime to produce a Robertson--Walker universe with de Sitter-type expansion plus one extra non-compact direction. Such models are found to admit both an effective four-dimensional Newton constant that remains finite and a normalizable zero-mode graviton wavefunction. We also exhibit the possibility of obtaining 4D de Sitter solutions by including the effect of fluxes (p-form field strengths).

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References

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Cited by 2 Pith papers

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

De Sitter hunting in a classical landscape
hep-th 2011-03 accept novelty 6.0 of 10

A systematic scan of homogeneous SU(3)-structure compactifications finds many classical de Sitter critical points, but all are perturbatively unstable and the explicit SU(2)xSU(2) example fails flux quantization in th...
de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections
hep-th 2014-02 conditional novelty 5.0 of 10

Classical type IIB supergravity with fluxes, D-branes, anti-branes, and orientifold planes cannot yield four-dimensional de Sitter space, but higher-curvature corrections could if their integrated stress-energy satisf...

How the literature uses it

9 arXiv papers cite this in 10 sentences

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Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

For the first time in the literature we show that there may exist a large class of warped supergravity models with a noncompact extra dimension which lead to a finite 4D Newton constant as well as a massless 4D graviton localised on an inflating four-dimensional FLRW universe.

Warped compactification to de Sitter space · 0.80

Papers citing it · 6 sentences without a confident label

Compares with it 1 paper

Hence [equation] The result reported in [ref] is obtained by taking $n=6$, and setting $M=1$.

Warped compactification to de Sitter space · Generalization to $D$-dimensions · 0.85

Cites it as support 2 papers

We note that dS solutions in set-ups with a more general extra-dimensional metric exists, see for example [ref] .

A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models · Assumptions · 0.97
It has been explicitly shown that the de Sitter solutions of [ref] are of the form of a curved brane with de Sitter worldvolume [ref] .

On classical de Sitter solutions in higher dimensions · Classical dS solutions in $D=4$? · 0.96

Cites it as background 1 paper

In Type II string theory, dS solutions have been studied in many works, for example [ref] .

de Sitter Vacua in Type IIB String Theory: Classical Solutions and Quantum Corrections · Introduction · 1.00

What it cites · 40 sentences without a confident label

Contests 1 paper

[equation] This result corrects a couple of typos/errors in [ref] .

Towards Classical de Sitter Solutions in String Theory · Warped metrics · contest 0.89

Builds on 2 papers

This work significantly extends and generalizes the earlier analysis in [ref] .

Simple cosmological de Sitter solutions on dS$_4 \times Y_6$ spaces · Introduction · 1.00
In section 3, we briefly discuss on why the `warping' of extra spaces might play an important role in the construction of de Sitter solutions, generalizing earlier works in [ref] .

Extra dimensions, warped compactifications and cosmic acceleration · Introduction · 0.95

Compares with 3 papers

It may be worth pointing out a few crucial differences in the results between an earlier paper by Gibbons and Hull (GH) [ref] and the one here: GH failed to find, within a class of non-compact warped supergravity solutions, a sensible 4D de Sitter solution that leads to a finite 4D Planck mass, whereas the one here has achieved this goal.

De Sitter Space from Warped Supergravity Solutions · Combining results · 1.00
By comparing the above set of equations, we explicitly get [equation] With a suitable choice of the ratio $λ/ρ$, one could possibly explain the mass hierarchy problem in particle physics, similar to that in the RS 2-brane model [ref] .

A Large Mass Hierarchy from a Small Extra Dimension · A model with compact extra dimensions · 0.93
First, unlike in the examples considered in [ref] , the size of the compact space $X_5$ is nonzero (avoiding a conical singularity at $y=0$) and the curvature components are regular everywhere.

Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories · Nontrivial solutions · 1.00

Cites as background 4 papers

This case has been extensively studied in the literature, see, for example, [ref] .

Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold · A more general example · 0.92
In the literature, see, for example, [ref] , there are arguments about the existence of (universal) de Sitter solutions at tree-level supergravity actions in 10 or 11 dimensions, which may involve only compact extra dimensions.

Minimal Simple de Sitter Solutions · Summary and further remarks · 0.94
In the literature, see, for example, [ref] , there are arguments about the existence of (universal) de Sitter solutions at tree-level supergravity actions in 10 or 11 dimensions, which may involve only compact extra dimensions.

Simple de Sitter Solutions · Summary and further remarks · 0.94

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