Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group
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arXiv
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2026
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| author | Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok |
| author_facet | Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok |
| contents | We show that a three-dimensional Manin gauge theory with gauge group $\operatorname{SL}(2;\mathbb R)$ (i.e. Yang-Mills theory, the third-way theory, or the imaginary third-way theory) minimally coupled to Einstein gravity admits a dual interpretation as Einstein gravity with an exotic coupling to a Manin gauge theory, where the roles of dreibein/spin connection and field strength/gauge potential are interchanged. The dual, or ersatz, gravitational metric $\hat g_{μν}\sim\operatorname{tr}((\star F)_μ(\star F)_ν)$ is a classical double copy of the gauge field strength $F_{μν}$ (as opposed to the usual double copy of the gauge potential $A_μ$). If matter exclusively couples to $\hat g$ (for example, in a gravitational decoupling limit), then one can formulate black-hole thermodynamics with regards to the ersatz metric. In particular, a black-hole solution for the ersatz metric $\hat g_{μν}$ (made of Yang-Mills fields) radiates ersatz Hawking radiation and obeys the laws of black-hole thermodynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_05180 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group Borsten, Leron Kanakaris, Dimitri Kim, Hyungrok High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics 83C47 (Primary) 81T13, 83C80, 83D05 (Secondary) We show that a three-dimensional Manin gauge theory with gauge group $\operatorname{SL}(2;\mathbb R)$ (i.e. Yang-Mills theory, the third-way theory, or the imaginary third-way theory) minimally coupled to Einstein gravity admits a dual interpretation as Einstein gravity with an exotic coupling to a Manin gauge theory, where the roles of dreibein/spin connection and field strength/gauge potential are interchanged. The dual, or ersatz, gravitational metric $\hat g_{μν}\sim\operatorname{tr}((\star F)_μ(\star F)_ν)$ is a classical double copy of the gauge field strength $F_{μν}$ (as opposed to the usual double copy of the gauge potential $A_μ$). If matter exclusively couples to $\hat g$ (for example, in a gravitational decoupling limit), then one can formulate black-hole thermodynamics with regards to the ersatz metric. In particular, a black-hole solution for the ersatz metric $\hat g_{μν}$ (made of Yang-Mills fields) radiates ersatz Hawking radiation and obeys the laws of black-hole thermodynamics. |
| title | Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics 83C47 (Primary) 81T13, 83C80, 83D05 (Secondary) |
| url | https://arxiv.org/abs/2602.05180 |