Cheeger bounds on spin-two fields
We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Ba...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Scuola Internazionale Superiore di Studi Avanzati
2021
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| _version_ | 1797081760816693248 |
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| author | Luca, GBD Ponti, ND Mondino, A Tomasiello, A |
| author_facet | Luca, GBD Ponti, ND Mondino, A Tomasiello, A |
| author_sort | Luca, GBD |
| collection | OXFORD |
| description | We consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry-Émery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D-brane singularities. For AdSd vacua with a bridge admitting an AdSd+1 interpretation, the holographic dual is a CFTd with two CFTd−1 boundaries. The ratio of their degrees of freedom gives the graviton mass, generalizing results obtained by Bachas and Lavdas for d = 4. We also prove new bounds on the higher eigenvalues. These are in agreement with the spin-two swampland conjecture in the regime where the background is scale-separated; in the opposite regime we provide examples where they are in naive tension with it. |
| first_indexed | 2024-03-07T01:18:33Z |
| format | Journal article |
| id | oxford-uuid:8f87ece5-d621-432f-92ac-876f4f5b9a55 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:18:33Z |
| publishDate | 2021 |
| publisher | Scuola Internazionale Superiore di Studi Avanzati |
| record_format | dspace |
| spelling | oxford-uuid:8f87ece5-d621-432f-92ac-876f4f5b9a552022-03-26T23:05:12ZCheeger bounds on spin-two fieldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8f87ece5-d621-432f-92ac-876f4f5b9a55EnglishSymplectic ElementsScuola Internazionale Superiore di Studi Avanzati2021Luca, GBDPonti, NDMondino, ATomasiello, AWe consider gravity compactifications whose internal space consists of small bridges connecting larger manifolds, possibly noncompact. We prove that, under rather general assumptions, this leads to a massive spin-two field with very small mass. The argument involves a recently-noticed relation to Bakry-Émery geometry, a version of the so-called Cheeger constant, and the theory of synthetic Ricci lower bounds. The latter technique allows generalizations to non-smooth spaces such as those with D-brane singularities. For AdSd vacua with a bridge admitting an AdSd+1 interpretation, the holographic dual is a CFTd with two CFTd−1 boundaries. The ratio of their degrees of freedom gives the graviton mass, generalizing results obtained by Bachas and Lavdas for d = 4. We also prove new bounds on the higher eigenvalues. These are in agreement with the spin-two swampland conjecture in the regime where the background is scale-separated; in the opposite regime we provide examples where they are in naive tension with it. |
| spellingShingle | Luca, GBD Ponti, ND Mondino, A Tomasiello, A Cheeger bounds on spin-two fields |
| title | Cheeger bounds on spin-two fields |
| title_full | Cheeger bounds on spin-two fields |
| title_fullStr | Cheeger bounds on spin-two fields |
| title_full_unstemmed | Cheeger bounds on spin-two fields |
| title_short | Cheeger bounds on spin-two fields |
| title_sort | cheeger bounds on spin two fields |
| work_keys_str_mv | AT lucagbd cheegerboundsonspintwofields AT pontind cheegerboundsonspintwofields AT mondinoa cheegerboundsonspintwofields AT tomasielloa cheegerboundsonspintwofields |