2020
DOI: 10.1007/jhep06(2020)100
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Gravitational waves in warped compactifications

Abstract: We study gravitational waves propagating on a warped Minkowski space-time with D − 4 compact extra dimensions. While Kaluza-Klein scales are typically too high for any current detection, we analyse how the warp factor changes the Kaluza-Klein spectrum of gravitational waves. To that end we provide a complete and explicit expression for the warp factor, as well as the Green's function, on a d-dimensional torus. This expression differs from that of braneworld models and should find further uses in string compact… Show more

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Cited by 34 publications
(79 citation statements)
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References 62 publications
(122 reference statements)
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“…There are also other, older and more general, open problems with any solutions of massive type IIA with O-planes. In our approximate solution, near an O6-plane we obtain an warping behaviour of the form e −4A ∼ 1 − gs s r [53]. This defines a region in which we enter strong coupling and the supergravity approximation breaks down.…”
Section: Jhep08(2020)087mentioning
confidence: 63%
See 1 more Smart Citation
“…There are also other, older and more general, open problems with any solutions of massive type IIA with O-planes. In our approximate solution, near an O6-plane we obtain an warping behaviour of the form e −4A ∼ 1 − gs s r [53]. This defines a region in which we enter strong coupling and the supergravity approximation breaks down.…”
Section: Jhep08(2020)087mentioning
confidence: 63%
“…It is important to point out that the expansion for the B i 's in terms of Fourier modes should be understood as a formal solution since the sum is not convergent. A regularised version of these Green functions using the Jacobi theta function was originally suggested in [52] and some details have been recently studied in [53]. For practical purposes, the regularised functions behave as standard Green functions in flat space when approximating the source and go to zero as we move away.…”
Section: Jhep08(2020)087mentioning
confidence: 99%
“…having a small Nf2, both the first scalar eigenvalue and 1/L2 are very different than the curvature scale fixed by false|scriptR6false|. An example is the explicit analysis of the Laplacian spectrum on the nilmanifold in []: in a regime of “small fiber”, one generates the desired hierarchy, where indeed false|scriptR6false| is small compared to the first scalar eigenvalue and to 1/L2.…”
mentioning
confidence: 99%
“…Two appendices on relevant group theory and on further speculation about space invasion complete the paper. Other results on KK graviton spectra in related contexts include [15,16,[20][21][22][23][24][25][26][27][28][29][30].…”
Section: Jhep10(2020)041mentioning
confidence: 99%