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String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
High Energy Physics - Theory · Submitted 8 Aug 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that a non-factorizable metric of the Randall-Sundrum (RS) type, with four-dimensional conformal factor Exp(-2 k|z|), can be a solution of the pertinent equations of motion.
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The abstract, sentence by sentence
We consider the O(a') string effective action, with Gauss-Bonnet curvature-squared and fourth-order dilaton-derivative terms, which is derived by a matching procedure with string amplitudes in five space-time dimensions. We show that a non-factorizable metric of the Randall-Sundrum (RS) type, with four-dimensional conformal factor Exp(-2 k|z|), can be a solution of the pertinent equations of motion. The parameter k is found proportional to the string coupling g_s and thus the solution appears to be non-perturbative. It is crucial that the Gauss-Bonnet combination has the right (positive in our conventions) sign, relative to the Einstein term, which is the case necessitated by compatibility with string (tree) amplitude computations. We study the general solution for the dilaton and metric functions, and thus construct the appropriate phase-space diagram in the solution space. In the case of an anti-de-Sitter bulk, we demonstrate that there exists a continuous interpolation between (part of) the RS solution at z=infinity and an (integrable) naked singularity at z=0. This implies the dynamical formation of domain walls (separated by an infinite distance), thus restricting the physical bulk space time to the positive z axis. Some brief comments on the possibility of fine-tuning the four-dimensional cosmological constant to zero are also presented.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider the O(a') string effective action, with Gauss-Bonnet curvature-squared and fourth-order dilaton-derivative terms, which is derived by a matching procedure with string amplitudes in five space-time dimensions. | method 0.42 | 0.56 | 0.04 | asserted 0.98 |
| s1 | We show that a non-factorizable metric of the Randall-Sundrum (RS) type, with four-dimensional conformal factor Exp(-2 k|z|), can be a solution of the pertinent equations of motion. | result 0.93 | 0.93 | 0.45 | asserted 0.70 |
| s2 | The parameter k is found proportional to the string coupling g_s and thus the solution appears to be non-perturbative. | result 0.64 | 0.92 | 0.20 | asserted 0.59 |
| s3 | It is crucial that the Gauss-Bonnet combination has the right (positive in our conventions) sign, relative to the Einstein term, which is the case necessitated by compatibility with string (tree) amplitude computations. | interpretation 0.60 | 0.25 | 0.11 | asserted 1.00 |
| s4 | We study the general solution for the dilaton and metric functions, and thus construct the appropriate phase-space diagram in the solution space. | contribution 0.75 | 0.95 | 0.05 | asserted 0.98 |
| s5 | In the case of an anti-de-Sitter bulk, we demonstrate that there exists a continuous interpolation between (part of) the RS solution at z=infinity and an (integrable) naked singularity at z=0. | result 0.98 | 0.93 | 0.18 | asserted 1.00 |
| s6 | This implies the dynamical formation of domain walls (separated by an infinite distance), thus restricting the physical bulk space time to the positive z axis. | interpretation 0.99 | 0.87 | 0.22 | asserted 0.95 |
| s7 | Some brief comments on the possibility of fine-tuning the four-dimensional cosmological constant to zero are also presented. | contribution 0.59 | 0.67 | 0.04 | hedged possibility 0.70 |
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Original abstract
We consider the O(a') string effective action, with Gauss-Bonnet curvature-squared and fourth-order dilaton-derivative terms, which is derived by a matching procedure with string amplitudes in five space-time dimensions. We show that a non-factorizable metric of the Randall-Sundrum (RS) type, with four-dimensional conformal factor Exp(-2 k|z|), can be a solution of the pertinent equations of motion. The parameter k is found proportional to the string coupling g_s and thus the solution appears to be non-perturbative. It is crucial that the Gauss-Bonnet combination has the right (positive in our conventions) sign, relative to the Einstein term, which is the case necessitated by compatibility with string (tree) amplitude computations. We study the general solution for the dilaton and metric functions, and thus construct the appropriate phase-space diagram in the solution space. In the case of an anti-de-Sitter bulk, we demonstrate that there exists a continuous interpolation between (part of) the RS solution at z=infinity and an (integrable) naked singularity at z=0. This implies the dynamical formation of domain walls (separated by an infinite distance), thus restricting the physical bulk space time to the positive z axis. Some brief comments on the possibility of fine-tuning the four-dimensional cosmological constant to zero are also presented.
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How the literature uses it
12 arXiv papers cite this in 12 sentences
Papers citing it · 8 sentences without a confident label
Cites it as background 4 papers
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Generalizations of the above generic models, including, for instance, bulk fields along the extra dimension(s) or higher-order curvature corrections, have been also considered, see for example Refs. [ref] and references therein.
Lorentz violation effects in asymmetric two brane models: a nonperturbative analysis · Introduction · 0.88
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Another important direction, which I will not review here, is the quest for a concrete construction of four-dimensional cosmology starting from some five-dimensional Gauss-Bonnet brane world models [ref] .
Constraints on Gauss-Bonnet Cosmologies · Modified Gauss-Bonnet theory · 0.97
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There are numerous generalizations of the above generic models, including, for instance, topological defects along the extra dimension(s), or higher-order curvature corrections [ref] .
Asymmetrically Warped Brane Models, Bulk Photons and Lorentz Invariance · Introduction · 0.98
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