Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910910263590912 |
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| author | Chen, Calvin Yi-Ren Joung, Euihun Mkrtchyan, Karapet Yoon, Junggi |
| author_facet | Chen, Calvin Yi-Ren Joung, Euihun Mkrtchyan, Karapet Yoon, Junggi |
| contents | We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we obtain a higher-derivative action generalizing the $s=1$ Floreanini-Jackiw and $s=2$ Alekseev-Shatashvili actions to arbitrary spin $s$. For simplicity, we treat the case of general spin at the linearized level, while the full non-linear asymptotic boundary conditions are presented in component form for the $SL(3,\mathbb R)$ case. Finally, we extend the spin-3 linearized analysis to a background with non-trivial higher-spin charge and show that it has a richer structure of zero modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity Chen, Calvin Yi-Ren Joung, Euihun Mkrtchyan, Karapet Yoon, Junggi High Energy Physics - Theory Mathematical Physics We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we obtain a higher-derivative action generalizing the $s=1$ Floreanini-Jackiw and $s=2$ Alekseev-Shatashvili actions to arbitrary spin $s$. For simplicity, we treat the case of general spin at the linearized level, while the full non-linear asymptotic boundary conditions are presented in component form for the $SL(3,\mathbb R)$ case. Finally, we extend the spin-3 linearized analysis to a background with non-trivial higher-spin charge and show that it has a richer structure of zero modes. |
| title | Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2501.16463 |