Toric gravitational instantons in gauged supergravity
<p>We introduce a general class of toric gravitational instantons in <em>D</em> = 4, <em>N</em> = 2 gauged supergravity, namely Euclidean supersymmetric solutions with <em>U</em>(1)<sup>2</sup> isometry. Such solutions are specified by a “supergr...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2025
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| _version_ | 1824459168591904768 |
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| author | Benetti Genolini, P Gauntlett, JP Jiao, Y Lüscher, A Sparks, J |
| author_facet | Benetti Genolini, P Gauntlett, JP Jiao, Y Lüscher, A Sparks, J |
| author_sort | Benetti Genolini, P |
| collection | OXFORD |
| description | <p>We introduce a general class of toric gravitational instantons in <em>D</em> = 4, <em>N</em> = 2 gauged supergravity, namely Euclidean supersymmetric solutions with <em>U</em>(1)<sup>2</sup> 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 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 <em>L</em>(<em>p</em>, <em>q</em>) or generalizations with orbifold singularities.</p> |
| first_indexed | 2025-02-19T04:37:30Z |
| format | Journal article |
| id | oxford-uuid:30814949-45c3-4087-ba72-76c371dbd163 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2025-02-19T04:37:30Z |
| publishDate | 2025 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:30814949-45c3-4087-ba72-76c371dbd1632025-02-07T11:39:20ZToric gravitational instantons in gauged supergravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:30814949-45c3-4087-ba72-76c371dbd163EnglishSymplectic ElementsAmerican Physical Society2025Benetti Genolini, PGauntlett, JPJiao, YLüscher, ASparks, J<p>We introduce a general class of toric gravitational instantons in <em>D</em> = 4, <em>N</em> = 2 gauged supergravity, namely Euclidean supersymmetric solutions with <em>U</em>(1)<sup>2</sup> 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 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 <em>L</em>(<em>p</em>, <em>q</em>) or generalizations with orbifold singularities.</p> |
| spellingShingle | Benetti Genolini, P Gauntlett, JP Jiao, Y Lüscher, A Sparks, J Toric gravitational instantons in gauged supergravity |
| title | Toric gravitational instantons in gauged supergravity |
| title_full | Toric gravitational instantons in gauged supergravity |
| title_fullStr | Toric gravitational instantons in gauged supergravity |
| title_full_unstemmed | Toric gravitational instantons in gauged supergravity |
| title_short | Toric gravitational instantons in gauged supergravity |
| title_sort | toric gravitational instantons in gauged supergravity |
| work_keys_str_mv | AT benettigenolinip toricgravitationalinstantonsingaugedsupergravity AT gauntlettjp toricgravitationalinstantonsingaugedsupergravity AT jiaoy toricgravitationalinstantonsingaugedsupergravity AT luschera toricgravitationalinstantonsingaugedsupergravity AT sparksj toricgravitationalinstantonsingaugedsupergravity |