Particle-vortex duality and theta terms in AdS/CMT applications
Abstract In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or without a Chern-Simons term, and derive an effect on conductivities, when the action is viewed...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)095 |
| _version_ | 1818148673733787648 |
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| author | Luis Alejo Horatiu Nastase |
| author_facet | Luis Alejo Horatiu Nastase |
| author_sort | Luis Alejo |
| collection | DOAJ |
| description | Abstract In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or without a Chern-Simons term, and derive an effect on conductivities, when the action is viewed as a response action. We can find its effect on 3+1 dimensional theories, with or without a theta term, coupled to gravity in asymptotically AdS space, and derive the resulting effect on conductivities defined in the spirit of AdS/CFT. AdS/CFT then relates the 2+1 dimensional and the 3+1 dimensional cases naturally. Quantum gravity corrections, as well as more general effective actions for the abelian vector, can be treated similarly. We can use the fluid/gravity correspondence, and the membrane paradigm, to define shear and bulk viscosities η and ζ for a gravity plus abelian vector plus scalar system near a black hole, and define the effect of the S-duality on it. |
| first_indexed | 2024-12-11T12:54:53Z |
| format | Article |
| id | doaj.art-c7fc641d4d4a40549510efcb2cbea880 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T12:54:53Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c7fc641d4d4a40549510efcb2cbea8802022-12-22T01:06:36ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019813710.1007/JHEP08(2019)095Particle-vortex duality and theta terms in AdS/CMT applicationsLuis Alejo0Horatiu Nastase1Instituto de Física Teórica, UNESP-Universidade Estadual PaulistaInstituto de Física Teórica, UNESP-Universidade Estadual PaulistaAbstract In this paper we study particle-vortex duality and the effect of theta terms from the point of view of AdS/CMT constructions. We can construct the duality in 2+1 dimensional field theories with or without a Chern-Simons term, and derive an effect on conductivities, when the action is viewed as a response action. We can find its effect on 3+1 dimensional theories, with or without a theta term, coupled to gravity in asymptotically AdS space, and derive the resulting effect on conductivities defined in the spirit of AdS/CFT. AdS/CFT then relates the 2+1 dimensional and the 3+1 dimensional cases naturally. Quantum gravity corrections, as well as more general effective actions for the abelian vector, can be treated similarly. We can use the fluid/gravity correspondence, and the membrane paradigm, to define shear and bulk viscosities η and ζ for a gravity plus abelian vector plus scalar system near a black hole, and define the effect of the S-duality on it.http://link.springer.com/article/10.1007/JHEP08(2019)095AdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Luis Alejo Horatiu Nastase Particle-vortex duality and theta terms in AdS/CMT applications Journal of High Energy Physics AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) |
| title | Particle-vortex duality and theta terms in AdS/CMT applications |
| title_full | Particle-vortex duality and theta terms in AdS/CMT applications |
| title_fullStr | Particle-vortex duality and theta terms in AdS/CMT applications |
| title_full_unstemmed | Particle-vortex duality and theta terms in AdS/CMT applications |
| title_short | Particle-vortex duality and theta terms in AdS/CMT applications |
| title_sort | particle vortex duality and theta terms in ads cmt applications |
| topic | AdS-CFT Correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)095 |
| work_keys_str_mv | AT luisalejo particlevortexdualityandthetatermsinadscmtapplications AT horatiunastase particlevortexdualityandthetatermsinadscmtapplications |