Black holes and large N complex saddles in 3D-3D correspondence
Abstract We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions for the two Euclidean supergravity solu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2021)078 |
| _version_ | 1798034970190544896 |
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| author | Sunjin Choi Dongmin Gang Nakwoo Kim |
| author_facet | Sunjin Choi Dongmin Gang Nakwoo Kim |
| author_sort | Sunjin Choi |
| collection | DOAJ |
| description | Abstract We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions for the two Euclidean supergravity solutions, Bolt ± with p = 0, which are Wick rotation of magnetically charged AdS4 black holes. The two solutions have the same imaginary part with opposite sign. The imaginary part comes from the F ∧ F-term in the supergravity and the coefficient is proportional to the Chern-Simons invariant of 3-manifold. Combining the holographic computation with 3D-3D relation for twisted indices, we propose a non-trivial mathematical conjecture regarding the phase factor of a twisted Reidemeister-Ray-Singer torsion on hyperbolic 3-manifold. |
| first_indexed | 2024-04-11T20:51:44Z |
| format | Article |
| id | doaj.art-2955cd0bdce84ed7bc5a4292986b8e7f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T20:51:44Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2955cd0bdce84ed7bc5a4292986b8e7f2022-12-22T04:03:49ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-012021611710.1007/JHEP06(2021)078Black holes and large N complex saddles in 3D-3D correspondenceSunjin Choi0Dongmin Gang1Nakwoo Kim2Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversitySchool of Physics, Korea Institute of Advanced StudyAbstract We study the large N sign oscillation of the twisted indices for 3D theories of class ℛ obtained from M5-branes wrapped on a hyperbolic 3-manifold. Holographically, the oscillatory behavior can be understood from the imaginary part of on-shell actions for the two Euclidean supergravity solutions, Bolt ± with p = 0, which are Wick rotation of magnetically charged AdS4 black holes. The two solutions have the same imaginary part with opposite sign. The imaginary part comes from the F ∧ F-term in the supergravity and the coefficient is proportional to the Chern-Simons invariant of 3-manifold. Combining the holographic computation with 3D-3D relation for twisted indices, we propose a non-trivial mathematical conjecture regarding the phase factor of a twisted Reidemeister-Ray-Singer torsion on hyperbolic 3-manifold.https://doi.org/10.1007/JHEP06(2021)0781/N ExpansionBlack Holes in String TheoryM-TheorySupersymmetry and Duality |
| spellingShingle | Sunjin Choi Dongmin Gang Nakwoo Kim Black holes and large N complex saddles in 3D-3D correspondence Journal of High Energy Physics 1/N Expansion Black Holes in String Theory M-Theory Supersymmetry and Duality |
| title | Black holes and large N complex saddles in 3D-3D correspondence |
| title_full | Black holes and large N complex saddles in 3D-3D correspondence |
| title_fullStr | Black holes and large N complex saddles in 3D-3D correspondence |
| title_full_unstemmed | Black holes and large N complex saddles in 3D-3D correspondence |
| title_short | Black holes and large N complex saddles in 3D-3D correspondence |
| title_sort | black holes and large n complex saddles in 3d 3d correspondence |
| topic | 1/N Expansion Black Holes in String Theory M-Theory Supersymmetry and Duality |
| url | https://doi.org/10.1007/JHEP06(2021)078 |
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