Worldline Higher Spin Gravity
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916053233172480 |
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| author | Cho, Minkyeu Joung, Euihun Oh, Taehwan Tran, Tung |
| author_facet | Cho, Minkyeu Joung, Euihun Oh, Taehwan Tran, Tung |
| contents | We propose a worldline formulation of higher-spin gravity (HSG) in $\mathrm{AdS}_4$, based on a simple twistor action. Taken at face value, the model describes only the free propagation of massless higher-spin fields. The central observation of this work is that the model admits a natural double-line interpretation, which supplies a geometric prescription for gluing worldlines at interaction vertices, in close parallel with the joining of strings in string theory. Building on this picture, we construct $\mathrm{AdS}$-covariant vertex operators for all massless higher-spin fields, show that they satisfy the Bargmann-Wigner equations, and use them to compute the n-point correlation functions of type-A and type-B HSG as worldline path integrals of these vertex operators. In the boundary limit these correlators reproduce the higher-spin current correlators of free boson and free fermion vector models. We further discuss the embedding of the worldline theory into Poisson sigma model, where the doubled-line structure acquires a geometric origin as the two edges of an open string worldsheet, together with several consequences of this enlarged framework -- fractional branes, loop expansion, unoriented projection, and the prospect of a worldsheet formulation of HSG. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27956 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Worldline Higher Spin Gravity Cho, Minkyeu Joung, Euihun Oh, Taehwan Tran, Tung High Energy Physics - Theory We propose a worldline formulation of higher-spin gravity (HSG) in $\mathrm{AdS}_4$, based on a simple twistor action. Taken at face value, the model describes only the free propagation of massless higher-spin fields. The central observation of this work is that the model admits a natural double-line interpretation, which supplies a geometric prescription for gluing worldlines at interaction vertices, in close parallel with the joining of strings in string theory. Building on this picture, we construct $\mathrm{AdS}$-covariant vertex operators for all massless higher-spin fields, show that they satisfy the Bargmann-Wigner equations, and use them to compute the n-point correlation functions of type-A and type-B HSG as worldline path integrals of these vertex operators. In the boundary limit these correlators reproduce the higher-spin current correlators of free boson and free fermion vector models. We further discuss the embedding of the worldline theory into Poisson sigma model, where the doubled-line structure acquires a geometric origin as the two edges of an open string worldsheet, together with several consequences of this enlarged framework -- fractional branes, loop expansion, unoriented projection, and the prospect of a worldsheet formulation of HSG. |
| title | Worldline Higher Spin Gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.27956 |