Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual
Abstract This paper completes the analysis initiated in the companion work arXiv:2403.02283 — referred to as Paper I — by showing how Vasiliev’s 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields (coloured confor...
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2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)066 |
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| author | Felipe Diaz Carlo Iazeolla Per Sundell |
| author_facet | Felipe Diaz Carlo Iazeolla Per Sundell |
| author_sort | Felipe Diaz |
| collection | DOAJ |
| description | Abstract This paper completes the analysis initiated in the companion work arXiv:2403.02283 — referred to as Paper I — by showing how Vasiliev’s 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields (coloured conformal HSG, or CCHSG) emerge as consistent reductions of a common parent model. The latter is a Frobenius-Chern-Simons model with superconnection valued in a fractional-spin extension of Vasiliev’s higher-spin algebra, and was defined and studied in Paper I. Here, we i) realize HSG as a subcase of a more general 4D reduction, describing HSG coupled to coloured, fractional-spin matter, which we refer to as 4D fractional-spin gravity; ii) study the CCHSG model, in particular exhibiting the crucial role played by novel colour gauge fields in coupling conformal matter to conformal HSG, thereby completing the models due to Vasiliev and Nilsson; iii) extract conformal currents and composite coloured sources in an expansion of the CCHSG model around 3D Minkowskian leaves; and iv) compare our results with Vasiliev’s holography proposal of arXiv:1203.5554. The common origin of HSG and CCHSG, besides relating the two models directly, is the starting point for establishing the holographic correspondence between the two models via overlap conditions, to be presented separately. |
| format | Article |
| id | doaj-art-41b624d3f02f4f1f96bed6607c93c291 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-41b624d3f02f4f1f96bed6607c93c2912024-12-08T12:11:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241016110.1007/JHEP10(2024)066Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dualFelipe Diaz0Carlo Iazeolla1Per Sundell2Departamento de Ciencias Físicas, Universidad Andres BelloDipartimento di Scienze Ingegneristiche, G. Marconi UniversityInstituto de Ciencias Exactas y Naturales, Universidad Arturo PratAbstract This paper completes the analysis initiated in the companion work arXiv:2403.02283 — referred to as Paper I — by showing how Vasiliev’s 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields (coloured conformal HSG, or CCHSG) emerge as consistent reductions of a common parent model. The latter is a Frobenius-Chern-Simons model with superconnection valued in a fractional-spin extension of Vasiliev’s higher-spin algebra, and was defined and studied in Paper I. Here, we i) realize HSG as a subcase of a more general 4D reduction, describing HSG coupled to coloured, fractional-spin matter, which we refer to as 4D fractional-spin gravity; ii) study the CCHSG model, in particular exhibiting the crucial role played by novel colour gauge fields in coupling conformal matter to conformal HSG, thereby completing the models due to Vasiliev and Nilsson; iii) extract conformal currents and composite coloured sources in an expansion of the CCHSG model around 3D Minkowskian leaves; and iv) compare our results with Vasiliev’s holography proposal of arXiv:1203.5554. The common origin of HSG and CCHSG, besides relating the two models directly, is the starting point for establishing the holographic correspondence between the two models via overlap conditions, to be presented separately.https://doi.org/10.1007/JHEP10(2024)066Higher Spin GravityHigher Spin SymmetryAdS-CFT Correspondence |
| spellingShingle | Felipe Diaz Carlo Iazeolla Per Sundell Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual Journal of High Energy Physics Higher Spin Gravity Higher Spin Symmetry AdS-CFT Correspondence |
| title | Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual |
| title_full | Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual |
| title_fullStr | Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual |
| title_full_unstemmed | Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual |
| title_short | Fractional spins, unfolding, and holography. Part II. 4D higher spin gravity and 3D conformal dual |
| title_sort | fractional spins unfolding and holography part ii 4d higher spin gravity and 3d conformal dual |
| topic | Higher Spin Gravity Higher Spin Symmetry AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP10(2024)066 |
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