Small black hole explosions
Abstract Small black holes are a powerful tool to explore infinite distances in moduli spaces. However, we show that in 4d theories with a scalar potential growing fast enough at infinity, it is energetically too costly for scalars to diverge at the core, and the small black hole puffs up into a reg...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)070 |
| _version_ | 1797675971862593536 |
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| author | Roberta Angius Jesús Huertas Angel M. Uranga |
| author_facet | Roberta Angius Jesús Huertas Angel M. Uranga |
| author_sort | Roberta Angius |
| collection | DOAJ |
| description | Abstract Small black holes are a powerful tool to explore infinite distances in moduli spaces. However, we show that in 4d theories with a scalar potential growing fast enough at infinity, it is energetically too costly for scalars to diverge at the core, and the small black hole puffs up into a regular black hole, or follows a runaway behaviour. We derive a critical exponent characterizing the occurrence or not of such small black hole explosions, both from a 4d perspective, and in the 2d theory after an S 2 truncation. The latter setup allows a unified discussion of fluxes, domain walls and black holes, solving an apparent puzzle in the expression of their potentials in the 4d N $$ \mathcal{N} $$ = 2 gauged supergravity context. We discuss the realization of these ideas in 4d N $$ \mathcal{N} $$ = 2 gauged supergravities. Along the way we show that many regular black hole supergravity solutions in the literature in the latter context are incomplete, due to Freed-Witten anomalies (or duals thereof), and require the emission of strings by the black hole. From the 2d perspective, small black hole solutions correspond to dynamical cobordisms, with the core describing an end of the world brane. Small black hole explosions represent obstructions to completing the dynamical cobordism. We study the implications for the Cobordism Distance Conjecture, which states that in any theory there should exist dynamical cobordisms accessing all possible infinite distance limits in scalar field space. The realization of this principle using small black holes leads to non-trivial constraints on the 4d scalar potential of any consistent theory; in the 4d N $$ \mathcal{N} $$ = 2 context, they allow to recover from a purely bottom-up perspective, several non-trivial properties of vector moduli spaces near infinity familiar from CY3 compactifications. |
| first_indexed | 2024-03-11T22:21:22Z |
| format | Article |
| id | doaj.art-d58273c1ce3d4089aa3a2031bf97f603 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:21:22Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-d58273c1ce3d4089aa3a2031bf97f6032023-09-24T11:05:00ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023614310.1007/JHEP06(2023)070Small black hole explosionsRoberta Angius0Jesús Huertas1Angel M. Uranga2Instituto de Física Teórica IFT-UAM/CSICInstituto de Física Teórica IFT-UAM/CSICInstituto de Física Teórica IFT-UAM/CSICAbstract Small black holes are a powerful tool to explore infinite distances in moduli spaces. However, we show that in 4d theories with a scalar potential growing fast enough at infinity, it is energetically too costly for scalars to diverge at the core, and the small black hole puffs up into a regular black hole, or follows a runaway behaviour. We derive a critical exponent characterizing the occurrence or not of such small black hole explosions, both from a 4d perspective, and in the 2d theory after an S 2 truncation. The latter setup allows a unified discussion of fluxes, domain walls and black holes, solving an apparent puzzle in the expression of their potentials in the 4d N $$ \mathcal{N} $$ = 2 gauged supergravity context. We discuss the realization of these ideas in 4d N $$ \mathcal{N} $$ = 2 gauged supergravities. Along the way we show that many regular black hole supergravity solutions in the literature in the latter context are incomplete, due to Freed-Witten anomalies (or duals thereof), and require the emission of strings by the black hole. From the 2d perspective, small black hole solutions correspond to dynamical cobordisms, with the core describing an end of the world brane. Small black hole explosions represent obstructions to completing the dynamical cobordism. We study the implications for the Cobordism Distance Conjecture, which states that in any theory there should exist dynamical cobordisms accessing all possible infinite distance limits in scalar field space. The realization of this principle using small black holes leads to non-trivial constraints on the 4d scalar potential of any consistent theory; in the 4d N $$ \mathcal{N} $$ = 2 context, they allow to recover from a purely bottom-up perspective, several non-trivial properties of vector moduli spaces near infinity familiar from CY3 compactifications.https://doi.org/10.1007/JHEP06(2023)070Black Holes in String TheoryFlux CompactificationsString and Brane Phenomenology |
| spellingShingle | Roberta Angius Jesús Huertas Angel M. Uranga Small black hole explosions Journal of High Energy Physics Black Holes in String Theory Flux Compactifications String and Brane Phenomenology |
| title | Small black hole explosions |
| title_full | Small black hole explosions |
| title_fullStr | Small black hole explosions |
| title_full_unstemmed | Small black hole explosions |
| title_short | Small black hole explosions |
| title_sort | small black hole explosions |
| topic | Black Holes in String Theory Flux Compactifications String and Brane Phenomenology |
| url | https://doi.org/10.1007/JHEP06(2023)070 |
| work_keys_str_mv | AT robertaangius smallblackholeexplosions AT jesushuertas smallblackholeexplosions AT angelmuranga smallblackholeexplosions |