ABJ quadrality
Abstract We study physical consequences of adding orientifolds to the ABJ triality, which is among 3d N=6 $$ \mathcal{N}=6 $$ superconformal Chern-Simons theory known as ABJ theory, type IIA string in AdS 4 × ℂℙ3 and N=6 $$ \mathcal{N}=6 $$ supersymmetric (SUSY) Vasiliev higher spin theory in AdS 4....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)190 |
| _version_ | 1818111306146775040 |
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| author | Masazumi Honda Yi Pang Yaodong Zhu |
| author_facet | Masazumi Honda Yi Pang Yaodong Zhu |
| author_sort | Masazumi Honda |
| collection | DOAJ |
| description | Abstract We study physical consequences of adding orientifolds to the ABJ triality, which is among 3d N=6 $$ \mathcal{N}=6 $$ superconformal Chern-Simons theory known as ABJ theory, type IIA string in AdS 4 × ℂℙ3 and N=6 $$ \mathcal{N}=6 $$ supersymmetric (SUSY) Vasiliev higher spin theory in AdS 4. After adding the orientifolds, it is known that the gauge group of the ABJ theory becomes O(N 1) × USp(2N 2) while the background of the string theory is replaced by AdS 4 × ℂℙ3/Z 2, and the supersymmetries in the both theories reduce to N=5 $$ \mathcal{N}=5 $$. We propose that adding the orientifolds to the N=6 $$ \mathcal{N}=6 $$ Vasiliev theory leads to N=5 $$ \mathcal{N}=5 $$ SUSY Vasiliev theory. It turns out that the N=5 $$ \mathcal{N}=5 $$ case is more involved because there are two formulations of the N=5 $$ \mathcal{N}=5 $$ Vasiliev theory with either O or USp internal symmetry. We show that the two N=5 $$ \mathcal{N}=5 $$ Vasiliev theories can be understood as certain projections of the N=6 $$ \mathcal{N}=6 $$ Vasiliev theory, which we identify with the orientifold projections in the Vasiliev theory. We conjecture that the O(N 1) × USp(2N 2) ABJ theory has the two vector model like limits: N 2 ≫ N 1 and N 1 ≫ N 2 which correspond to the semi-classical N=5 $$ \mathcal{N}=5 $$ Vasiliev theories with O(N 1) and USp(2N 2) internal symmetries respectively. These correspondences together with the standard AdS/CFT correspondence comprise the ABJ quadrality among the N=5 $$ \mathcal{N}=5 $$ ABJ theory, string/M-theory and two N=5 $$ \mathcal{N}=5 $$ Vasliev theories. We provide a precise holographic dictionary for the correspondences by comparing correlation functions of stress tensor and flavor currents. Our conjecture is supported by various evidence such as agreements of the spectra, one-loop free energies and SUSY enhancement on the both sides. We also predict the leading free energy of the N=5 $$ \mathcal{N}=5 $$ Vasiliev theory from the CFT side. As a byproduct, we give a derivation of the relation between the parity violating phase in the N=6 $$ \mathcal{N}=6 $$ Vasiliev theory and the parameters in the N=6 $$ \mathcal{N}=6 $$ ABJ theory, which was conjectured in [1]. |
| first_indexed | 2024-12-11T03:00:57Z |
| format | Article |
| id | doaj.art-b38868ccadb443a9a487c60bb7ea6b46 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T03:00:57Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b38868ccadb443a9a487c60bb7ea6b462022-12-22T01:23:02ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171116010.1007/JHEP11(2017)190ABJ quadralityMasazumi Honda0Yi Pang1Yaodong Zhu2Department of Particle Physics and Astrophysics, Weizmann Institute of ScienceMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)George and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M UniversityAbstract We study physical consequences of adding orientifolds to the ABJ triality, which is among 3d N=6 $$ \mathcal{N}=6 $$ superconformal Chern-Simons theory known as ABJ theory, type IIA string in AdS 4 × ℂℙ3 and N=6 $$ \mathcal{N}=6 $$ supersymmetric (SUSY) Vasiliev higher spin theory in AdS 4. After adding the orientifolds, it is known that the gauge group of the ABJ theory becomes O(N 1) × USp(2N 2) while the background of the string theory is replaced by AdS 4 × ℂℙ3/Z 2, and the supersymmetries in the both theories reduce to N=5 $$ \mathcal{N}=5 $$. We propose that adding the orientifolds to the N=6 $$ \mathcal{N}=6 $$ Vasiliev theory leads to N=5 $$ \mathcal{N}=5 $$ SUSY Vasiliev theory. It turns out that the N=5 $$ \mathcal{N}=5 $$ case is more involved because there are two formulations of the N=5 $$ \mathcal{N}=5 $$ Vasiliev theory with either O or USp internal symmetry. We show that the two N=5 $$ \mathcal{N}=5 $$ Vasiliev theories can be understood as certain projections of the N=6 $$ \mathcal{N}=6 $$ Vasiliev theory, which we identify with the orientifold projections in the Vasiliev theory. We conjecture that the O(N 1) × USp(2N 2) ABJ theory has the two vector model like limits: N 2 ≫ N 1 and N 1 ≫ N 2 which correspond to the semi-classical N=5 $$ \mathcal{N}=5 $$ Vasiliev theories with O(N 1) and USp(2N 2) internal symmetries respectively. These correspondences together with the standard AdS/CFT correspondence comprise the ABJ quadrality among the N=5 $$ \mathcal{N}=5 $$ ABJ theory, string/M-theory and two N=5 $$ \mathcal{N}=5 $$ Vasliev theories. We provide a precise holographic dictionary for the correspondences by comparing correlation functions of stress tensor and flavor currents. Our conjecture is supported by various evidence such as agreements of the spectra, one-loop free energies and SUSY enhancement on the both sides. We also predict the leading free energy of the N=5 $$ \mathcal{N}=5 $$ Vasiliev theory from the CFT side. As a byproduct, we give a derivation of the relation between the parity violating phase in the N=6 $$ \mathcal{N}=6 $$ Vasiliev theory and the parameters in the N=6 $$ \mathcal{N}=6 $$ ABJ theory, which was conjectured in [1].http://link.springer.com/article/10.1007/JHEP11(2017)190AdS-CFT CorrespondenceChern-Simons TheoriesHigher Spin GravityHigher Spin Symmetry |
| spellingShingle | Masazumi Honda Yi Pang Yaodong Zhu ABJ quadrality Journal of High Energy Physics AdS-CFT Correspondence Chern-Simons Theories Higher Spin Gravity Higher Spin Symmetry |
| title | ABJ quadrality |
| title_full | ABJ quadrality |
| title_fullStr | ABJ quadrality |
| title_full_unstemmed | ABJ quadrality |
| title_short | ABJ quadrality |
| title_sort | abj quadrality |
| topic | AdS-CFT Correspondence Chern-Simons Theories Higher Spin Gravity Higher Spin Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)190 |
| work_keys_str_mv | AT masazumihonda abjquadrality AT yipang abjquadrality AT yaodongzhu abjquadrality |