Putting the boot into the swampland
Abstract The swampland program of delineating the space of effective field theories consistent with quantum gravity appears similar to the bootstrap program of delineating the space of quantum field theories consistent with conformal symmetry. With this in mind we rewrite the effective field theory...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)005 |
| _version_ | 1828172545895956480 |
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| author | Joseph P. Conlon Fernando Quevedo |
| author_facet | Joseph P. Conlon Fernando Quevedo |
| author_sort | Joseph P. Conlon |
| collection | DOAJ |
| description | Abstract The swampland program of delineating the space of effective field theories consistent with quantum gravity appears similar to the bootstrap program of delineating the space of quantum field theories consistent with conformal symmetry. With this in mind we rewrite the effective field theory of the Large Volume Scenario in AdS space solely in terms of R AdS, in a form suitable for holographic analysis. This rewritten EFT takes a remarkably universal (and previously unnoticed) form, which is uniquely determined in the large-volume limit up to terms suppressed by O $$ \mathcal{O} $$ (1/lnR AdS), with no reference to any of the fluxes, brane or instanton configurations that enter the microphysics of moduli stabilisation. The putative dual 3d CFT will have two low-lying single trace scalars, an even-parity scalar Φ dual to the volume modulus with Δ Φ = 3 2 1 + 19 ≃ 8.038 $$ {\Delta}_{\varPhi }=\frac{3}{2}\left(1+\sqrt{19}\right)\simeq 8.038 $$ and an odd-parity scalar a dual to the volume axion with Δ a = 3. On the AdS side the higher-point interactions are likewise uniquely determined. As the AdS theory is both subject to swampland constraints and holographically related to a CFT, we argue that holography will lead to a ‘bootland’ — a map between swampland constraints on the AdS side and bootstrap constraints on the CFT side. We motivate this with a discussion of swampland quantum gravity constraints on the axion decay constant in the ν → ∞ limit and the 〈ΦΦaa〉 4-point function on the CFT side. |
| first_indexed | 2024-04-12T03:41:40Z |
| format | Article |
| id | doaj.art-023b5ff58c5a4f808ae6e7316214a8e3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T03:41:40Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-023b5ff58c5a4f808ae6e7316214a8e32022-12-22T03:49:15ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019313110.1007/JHEP03(2019)005Putting the boot into the swamplandJoseph P. Conlon0Fernando Quevedo1Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, University of OxfordICTPAbstract The swampland program of delineating the space of effective field theories consistent with quantum gravity appears similar to the bootstrap program of delineating the space of quantum field theories consistent with conformal symmetry. With this in mind we rewrite the effective field theory of the Large Volume Scenario in AdS space solely in terms of R AdS, in a form suitable for holographic analysis. This rewritten EFT takes a remarkably universal (and previously unnoticed) form, which is uniquely determined in the large-volume limit up to terms suppressed by O $$ \mathcal{O} $$ (1/lnR AdS), with no reference to any of the fluxes, brane or instanton configurations that enter the microphysics of moduli stabilisation. The putative dual 3d CFT will have two low-lying single trace scalars, an even-parity scalar Φ dual to the volume modulus with Δ Φ = 3 2 1 + 19 ≃ 8.038 $$ {\Delta}_{\varPhi }=\frac{3}{2}\left(1+\sqrt{19}\right)\simeq 8.038 $$ and an odd-parity scalar a dual to the volume axion with Δ a = 3. On the AdS side the higher-point interactions are likewise uniquely determined. As the AdS theory is both subject to swampland constraints and holographically related to a CFT, we argue that holography will lead to a ‘bootland’ — a map between swampland constraints on the AdS side and bootstrap constraints on the CFT side. We motivate this with a discussion of swampland quantum gravity constraints on the axion decay constant in the ν → ∞ limit and the 〈ΦΦaa〉 4-point function on the CFT side.http://link.springer.com/article/10.1007/JHEP03(2019)005Flux compactificationsSuperstring VacuaSuperstrings and Heterotic Strings |
| spellingShingle | Joseph P. Conlon Fernando Quevedo Putting the boot into the swampland Journal of High Energy Physics Flux compactifications Superstring Vacua Superstrings and Heterotic Strings |
| title | Putting the boot into the swampland |
| title_full | Putting the boot into the swampland |
| title_fullStr | Putting the boot into the swampland |
| title_full_unstemmed | Putting the boot into the swampland |
| title_short | Putting the boot into the swampland |
| title_sort | putting the boot into the swampland |
| topic | Flux compactifications Superstring Vacua Superstrings and Heterotic Strings |
| url | http://link.springer.com/article/10.1007/JHEP03(2019)005 |
| work_keys_str_mv | AT josephpconlon puttingthebootintotheswampland AT fernandoquevedo puttingthebootintotheswampland |