Charges in nonlinear higher-spin theory
Abstract Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending on various lower- and higher-spin chemical potentia...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2017)164 |
| _version_ | 1819208437010006016 |
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| author | V. E. Didenko N. G. Misuna M. A. Vasiliev |
| author_facet | V. E. Didenko N. G. Misuna M. A. Vasiliev |
| author_sort | V. E. Didenko |
| collection | DOAJ |
| description | Abstract Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending on various lower- and higher-spin chemical potentials identified with modules of topological fields in the theory. The vacuum contribution to the partition is calculated to the first nontrivial order for a solution to higher-spin equations that generalizes AdS4 Kerr black hole of General Relativity. The resulting partition is non-zero being in parametric agreement with the ADM-like behavior of a rotating source. The linear response of chemical potentials to the partition function is also extracted. The explicit unfolded form of 4d GR black holes is given. An explicit formula relating asymptotic higher-spin charges expressed in terms of the generalized higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is obtained. |
| first_indexed | 2024-12-23T05:39:22Z |
| format | Article |
| id | doaj.art-6d7927602877451eb09bd11b2277ca27 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T05:39:22Z |
| publishDate | 2017-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6d7927602877451eb09bd11b2277ca272022-12-21T17:58:13ZengSpringerOpenJournal of High Energy Physics1029-84792017-03-012017312410.1007/JHEP03(2017)164Charges in nonlinear higher-spin theoryV. E. Didenko0N. G. Misuna1M. A. Vasiliev2I.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteI.E. Tamm Department of Theoretical Physics, Lebedev Physical InstituteAbstract Nonlinear higher-spin equations in four dimensions admit a closed two-form that defines a gauge-invariant global charge as an integral over a two-dimensional cycle. In this paper we argue that this charge gives rise to partitions depending on various lower- and higher-spin chemical potentials identified with modules of topological fields in the theory. The vacuum contribution to the partition is calculated to the first nontrivial order for a solution to higher-spin equations that generalizes AdS4 Kerr black hole of General Relativity. The resulting partition is non-zero being in parametric agreement with the ADM-like behavior of a rotating source. The linear response of chemical potentials to the partition function is also extracted. The explicit unfolded form of 4d GR black holes is given. An explicit formula relating asymptotic higher-spin charges expressed in terms of the generalized higher-spin Weyl tensor with those expressed in terms of Fronsdal fields is obtained.http://link.springer.com/article/10.1007/JHEP03(2017)164Higher Spin GravityHigher Spin SymmetryBlack Holes |
| spellingShingle | V. E. Didenko N. G. Misuna M. A. Vasiliev Charges in nonlinear higher-spin theory Journal of High Energy Physics Higher Spin Gravity Higher Spin Symmetry Black Holes |
| title | Charges in nonlinear higher-spin theory |
| title_full | Charges in nonlinear higher-spin theory |
| title_fullStr | Charges in nonlinear higher-spin theory |
| title_full_unstemmed | Charges in nonlinear higher-spin theory |
| title_short | Charges in nonlinear higher-spin theory |
| title_sort | charges in nonlinear higher spin theory |
| topic | Higher Spin Gravity Higher Spin Symmetry Black Holes |
| url | http://link.springer.com/article/10.1007/JHEP03(2017)164 |
| work_keys_str_mv | AT vedidenko chargesinnonlinearhigherspintheory AT ngmisuna chargesinnonlinearhigherspintheory AT mavasiliev chargesinnonlinearhigherspintheory |