Citation

BibTex format

@article{Leung:2024:10.1007/JHEP10(2024)123,
author = {Leung, R and Stelle, KS},
doi = {10.1007/JHEP10(2024)123},
journal = {Journal of High Energy Physics},
title = {Localised gravity and resolved braneworlds},
url = {http://dx.doi.org/10.1007/JHEP10(2024)123},
volume = {2024},
year = {2024}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Deriving an effective massless field theory for fluctuations about a braneworld spacetime requires analysis of the transverse-space-wavefunction’s second-order differential equation. There can be two strikingly different types of effective theory. For a supersymmetric braneworld, one involves a technically consistent embedding of a supergravity theory on the worldvolume; the other can produce, in certain situations, a genuine localisation of gravity near the worldvolume but not via a technically consistent embedding. So, in the latter situation, the theory’s dynamics remains higher-dimensional but there can still be a lower-dimensional effective-theory interpretation of the dynamics at low worldvolume momenta / large worldvolume distances. This paper examines the conditions for such a gravity localisation to be possible. Localising gravity about braneworld spacetimes requires finding solutions to transverse-space self-adjoint Sturm-Liouville problems admitting a normalisable zero mode in the noncompact transverse space. This in turn requires analysis of Sturm-Liouville problems with radial singular endpoints following a formalism originating in the work of Hermann Weyl. Examples of such gravity-localising braneworld systems are found and analysed in this formalism with underlying “skeleton” braneworlds of Salam-Sezgin, resolved D3-brane and Randall-Sundrum II types.
AU  - Leung,R
AU  - Stelle,KS
DO  - 10.1007/JHEP10(2024)123
PY  - 2024///
TI  - Localised gravity and resolved braneworlds
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP10(2024)123
VL  - 2024
ER  -
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