Supersymmetric $$AdS_6$$ A d S 6 black holes from ISO(3) $$\times $$ × U(1) F(4) gauged supergravity
Abstract We study supersymmetric $$AdS_6$$ A d S 6 black holes from matter-coupled F(4) gauged supergravity coupled to four vector multiplets with $$ISO(3)\times U(1)$$ I S O ( 3 ) × U ( 1 ) gauge group. This gauged supergravity admits a maximally supersymmetric $$AdS_6$$ A d S 6 vacuum with $$SO(3)...
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13880-0 |
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| Summary: | Abstract We study supersymmetric $$AdS_6$$ A d S 6 black holes from matter-coupled F(4) gauged supergravity coupled to four vector multiplets with $$ISO(3)\times U(1)$$ I S O ( 3 ) × U ( 1 ) gauge group. This gauged supergravity admits a maximally supersymmetric $$AdS_6$$ A d S 6 vacuum with $$SO(3)\subset ISO(3)$$ S O ( 3 ) ⊂ I S O ( 3 ) symmetry. We find a number of new supersymmetric $$AdS_2\times \mathcal {M}_4$$ A d S 2 × M 4 solutions by performing topological twists along $$\mathcal {M}_4$$ M 4 . For $$\mathcal {M}_4$$ M 4 being a product of two Riemann surfaces $$\Sigma \times \widetilde{\Sigma }$$ Σ × Σ ~ , we perform a twist by $$SO(2)\times U(1)$$ S O ( 2 ) × U ( 1 ) gauge fields and find $$AdS_2\times \Sigma \times \widetilde{\Sigma }$$ A d S 2 × Σ × Σ ~ solutions for at least one of the Riemann surface being negatively curved. For $$\mathcal {M}_4$$ M 4 being a Kahler four-cycle $$\mathcal {M}_{\text {K}4}$$ M K 4 , a twist by $$SO(2)\times U(1)$$ S O ( 2 ) × U ( 1 ) gauge fields leads to $$AdS_2\times \mathcal {M}_{\text {K}4}^-$$ A d S 2 × M K 4 - solutions for negatively curved $$\mathcal {M}_{\text {K}4}$$ M K 4 . Finally, performing a twist by turning on SO(3) gauge fields in the case of $$\mathcal {M}_4$$ M 4 being a Cayley four-cycle $$\mathcal {M}_{\text {C}4}$$ M C 4 also leads to $$AdS_2\times \mathcal {M}_{\text {C}4}^-$$ A d S 2 × M C 4 - solutions for negatively curved $$\mathcal {M}_{\text {C}4}$$ M C 4 . We give numerical black hole solutions interpolating between all of these $$AdS_2\times \mathcal {M}_4$$ A d S 2 × M 4 near horizon geometries and the asymptotically locally $$AdS_6$$ A d S 6 vacuum. It is also possible to uplift all of these solutions to type IIB theory via consistent truncations on $$S^2\times \Sigma $$ S 2 × Σ leading to a new class of supersymmetric $$AdS_2\times \mathcal {M}_4\times S^2\times \Sigma $$ A d S 2 × M 4 × S 2 × Σ solutions. |
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| ISSN: | 1434-6052 |