Toric gravitational instantons in gauged supergravity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916682067345408 |
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| author | Genolini, Pietro Benetti Gauntlett, Jerome P. Jiao, Yusheng Lüscher, Alice Sparks, James |
| author_facet | Genolini, Pietro Benetti Gauntlett, Jerome P. Jiao, Yusheng Lüscher, Alice Sparks, James |
| contents | We introduce a general class of toric gravitational instantons in $D=4$, $\mathcal{N}=2$ gauged supergravity, namely Euclidean supersymmetric solutions with $U(1)^2$ isometry. Such solutions are specified by a "supergravity labelled polytope", where the labels encode the 4-manifold topology, the choice of magnetic fluxes, and certain signs associated to the Killing spinor. Equivariant localization then allows us to write down the gravitational free energy for such a solution, assuming it exists, and study its properties. These results open the way for a systematic study of holography in this setting, where the dual large $N$ field theories are defined on the boundary 3-manifolds, which are (squashed) lens spaces $L(p,q)$ or generalizations with orbifold singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toric gravitational instantons in gauged supergravity Genolini, Pietro Benetti Gauntlett, Jerome P. Jiao, Yusheng Lüscher, Alice Sparks, James High Energy Physics - Theory We introduce a general class of toric gravitational instantons in $D=4$, $\mathcal{N}=2$ gauged supergravity, namely Euclidean supersymmetric solutions with $U(1)^2$ isometry. Such solutions are specified by a "supergravity labelled polytope", where the labels encode the 4-manifold topology, the choice of magnetic fluxes, and certain signs associated to the Killing spinor. Equivariant localization then allows us to write down the gravitational free energy for such a solution, assuming it exists, and study its properties. These results open the way for a systematic study of holography in this setting, where the dual large $N$ field theories are defined on the boundary 3-manifolds, which are (squashed) lens spaces $L(p,q)$ or generalizations with orbifold singularities. |
| title | Toric gravitational instantons in gauged supergravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.19036 |