Near-horizon extremal geometries: coadjoint orbits and quantization
Abstract The NHEG algebra is an extension of Virasoro introduced in [arXiv:1503.07861]; it describes the symplectic symmetries of (n + 4)-dimensional Near Horizon Extremal Geometries with SL(2, ℝ) × U(1) n+ 1 isometry. In this work we construct the NHEG group and classify the (coadjoint) orbits of i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP04(2018)025 |
| _version_ | 1818848110678376448 |
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| author | R. Javadinezhad B. Oblak M. M. Sheikh-Jabbari |
| author_facet | R. Javadinezhad B. Oblak M. M. Sheikh-Jabbari |
| author_sort | R. Javadinezhad |
| collection | DOAJ |
| description | Abstract The NHEG algebra is an extension of Virasoro introduced in [arXiv:1503.07861]; it describes the symplectic symmetries of (n + 4)-dimensional Near Horizon Extremal Geometries with SL(2, ℝ) × U(1) n+ 1 isometry. In this work we construct the NHEG group and classify the (coadjoint) orbits of its action on phase space. As we show, the group consists of maps from an n-torus to the Virasoro group, so its orbits are bundles of standard Virasoro coadjoint orbits over T n . We also describe the unitary representations that are expected to follow from the quantization of these orbits, and display their characters. Along the way we show that the NHEG algebra can be built from u(1) currents using a twisted Sugawara construction. |
| first_indexed | 2024-12-19T06:12:08Z |
| format | Article |
| id | doaj.art-11524903f1b946a4b4cb368cfb2f5619 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T06:12:08Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-11524903f1b946a4b4cb368cfb2f56192022-12-21T20:32:58ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018412410.1007/JHEP04(2018)025Near-horizon extremal geometries: coadjoint orbits and quantizationR. Javadinezhad0B. Oblak1M. M. Sheikh-Jabbari2Physics Department, New York UniversityInstitut für Theoretische Physik, ETH ZürichSchool of Physics, Institute for Research in Fundamental Sciences (IPM)Abstract The NHEG algebra is an extension of Virasoro introduced in [arXiv:1503.07861]; it describes the symplectic symmetries of (n + 4)-dimensional Near Horizon Extremal Geometries with SL(2, ℝ) × U(1) n+ 1 isometry. In this work we construct the NHEG group and classify the (coadjoint) orbits of its action on phase space. As we show, the group consists of maps from an n-torus to the Virasoro group, so its orbits are bundles of standard Virasoro coadjoint orbits over T n . We also describe the unitary representations that are expected to follow from the quantization of these orbits, and display their characters. Along the way we show that the NHEG algebra can be built from u(1) currents using a twisted Sugawara construction.http://link.springer.com/article/10.1007/JHEP04(2018)025Black HolesConformal and W SymmetrySpace-Time SymmetriesAdSCFT Correspondence |
| spellingShingle | R. Javadinezhad B. Oblak M. M. Sheikh-Jabbari Near-horizon extremal geometries: coadjoint orbits and quantization Journal of High Energy Physics Black Holes Conformal and W Symmetry Space-Time Symmetries AdSCFT Correspondence |
| title | Near-horizon extremal geometries: coadjoint orbits and quantization |
| title_full | Near-horizon extremal geometries: coadjoint orbits and quantization |
| title_fullStr | Near-horizon extremal geometries: coadjoint orbits and quantization |
| title_full_unstemmed | Near-horizon extremal geometries: coadjoint orbits and quantization |
| title_short | Near-horizon extremal geometries: coadjoint orbits and quantization |
| title_sort | near horizon extremal geometries coadjoint orbits and quantization |
| topic | Black Holes Conformal and W Symmetry Space-Time Symmetries AdSCFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP04(2018)025 |
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