Higher spin swampland conjecture for massive AdS$_{3}$ gravity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913875717259264 |
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| author | Sammani, R. Saidi, E. H |
| author_facet | Sammani, R. Saidi, E. H |
| contents | In this paper, we show that a possible version of the swampland weak gravity conjecture for higher spin (HS) massive topological AdS$_{3}$ gravity can be expressed in terms of mass $M_{hs}$, charge $Q_{hs}$ and coupling constant $g_{hs}$ of 3D gravity coupled to higher spin fields as $M_{hs} \leq \sqrt{2}$ $Q_{hs}$ $g_{hs}$ $M_{Pl}$. The higher spin charge is given by the $SO(1,2)$ quadratic Casimir $Q_{hs}^{2}=s\left (s-1\right) $ and the HS coupling constant by ${\large g}_{hs} ^{2}=2/\left (M_{Pl}^{2} l_{AdS_{3}}^{2}\right )$ while the mass expressed like $\left( l_{AdS_{3}} \text{M}_{hs}\right) ^{2}$ is defined as $ \left (1+μl_{AdS_{3}} \right ) ^{2} s \left ( s-1 \right ) +[1- \left ( μl_{AdS_{3}} \right ) ^{2} \left ( s-1 \right ) ]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher spin swampland conjecture for massive AdS$_{3}$ gravity Sammani, R. Saidi, E. H High Energy Physics - Theory In this paper, we show that a possible version of the swampland weak gravity conjecture for higher spin (HS) massive topological AdS$_{3}$ gravity can be expressed in terms of mass $M_{hs}$, charge $Q_{hs}$ and coupling constant $g_{hs}$ of 3D gravity coupled to higher spin fields as $M_{hs} \leq \sqrt{2}$ $Q_{hs}$ $g_{hs}$ $M_{Pl}$. The higher spin charge is given by the $SO(1,2)$ quadratic Casimir $Q_{hs}^{2}=s\left (s-1\right) $ and the HS coupling constant by ${\large g}_{hs} ^{2}=2/\left (M_{Pl}^{2} l_{AdS_{3}}^{2}\right )$ while the mass expressed like $\left( l_{AdS_{3}} \text{M}_{hs}\right) ^{2}$ is defined as $ \left (1+μl_{AdS_{3}} \right ) ^{2} s \left ( s-1 \right ) +[1- \left ( μl_{AdS_{3}} \right ) ^{2} \left ( s-1 \right ) ]$. |
| title | Higher spin swampland conjecture for massive AdS$_{3}$ gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.09151 |