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Harmonic functions and gravity localization
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DOI：10.1007/JHEP09(2023)127.png)
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摘要
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In models with extra dimensions, matter particles can be easily localized to a 'brane world', but gravitational attraction tends to spread out in the extra dimensions unless they are small. Strong warping gradients can help localize gravity closer to the brane. In this note we give a mathematically rigorous proof that the internal wave-function of the massless graviton is constant as an eigenfunction of the weighted Laplacian, and hence is a power of the warping as a bound state in an analogue Schrodinger potential. This holds even in presence of singularities induced by thin branes. We also reassess the status of AdS vacuum solutions where the graviton is massive. We prove a bound on scale separation for such models, as an application of our recent results on KK masses. We also use them to estimate the scale at which gravity is localized, without having to compute the spectrum explicitly. For example, we point out that localization can be obtained at least up to the cosmological scale in string/M-theory solutions with infinitevolume Riemann surfaces; and in a known class of N = 4 models, when the number of NS5- and D5-branes is roughly equal.
Keyword:
Classical Theories of Gravity
Flux Compactifications
Spacetime Singularities
Superstring Vacua
期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
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