Higher spin swampland conjecture for massive AdS$_{3}$ gravity

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$_{\mathrm{hs}}$, charge Q$_{\mathrm{hs}}$ and coupling constant ${\large g}_{\mathrm{hs}}$ of 3D gravity coupled to h...

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Main Author: Rajae Sammani, El Hassan Saidi
Format: Article
Language:English
Published: SciPost 2025-06-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.18.6.173
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author Rajae Sammani, El Hassan Saidi
author_facet Rajae Sammani, El Hassan Saidi
author_sort Rajae Sammani, El Hassan Saidi
collection DOAJ
description 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$_{\mathrm{hs}}$, charge Q$_{\mathrm{hs}}$ and coupling constant ${\large g}_{\mathrm{hs}}$ of 3D gravity coupled to higher spin fields as M$_{\mathrm{hs}}≤ \sqrt{2}$Q$_{\mathrm{hs}}{\large g}_{\mathrm{hs}}M_{\mathrm{Pl}}$. The higher spin charge is given by the $SO(1,2)$ quadratic Casimir Q$_{\mathrm{hs}}^{2}=s\left( s-1\right) $ and the HS coupling constant by ${\large g}_{\mathrm{hs}}^{2}=2/\left( M_{\mathrm{Pl}}^{2}l_{\mathrm{AdS}_{3}}^{2}\right) $ while the mass expressed like $\left( l_{\mathrm{AdS}_{3}}\text{M}_{\mathrm{hs}}\right) ^{2}$ is defined as $\left( 1+\mathrm{\mu }l_{\mathrm{AdS}_{3}}\right) ^{2}s\left( s-1\right) +\left[1-\left( \mathrm{\mu }l_{\mathrm{AdS}_{3}}\right) ^{2}\left( s-1\right) \right]$.
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spelling doaj-art-2383f41f0f3e4e5f9ed5d6f0714a22a42025-08-20T03:07:35ZengSciPostSciPost Physics2542-46532025-06-0118617310.21468/SciPostPhys.18.6.173Higher spin swampland conjecture for massive AdS$_{3}$ gravityRajae Sammani, El Hassan SaidiIn 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$_{\mathrm{hs}}$, charge Q$_{\mathrm{hs}}$ and coupling constant ${\large g}_{\mathrm{hs}}$ of 3D gravity coupled to higher spin fields as M$_{\mathrm{hs}}≤ \sqrt{2}$Q$_{\mathrm{hs}}{\large g}_{\mathrm{hs}}M_{\mathrm{Pl}}$. The higher spin charge is given by the $SO(1,2)$ quadratic Casimir Q$_{\mathrm{hs}}^{2}=s\left( s-1\right) $ and the HS coupling constant by ${\large g}_{\mathrm{hs}}^{2}=2/\left( M_{\mathrm{Pl}}^{2}l_{\mathrm{AdS}_{3}}^{2}\right) $ while the mass expressed like $\left( l_{\mathrm{AdS}_{3}}\text{M}_{\mathrm{hs}}\right) ^{2}$ is defined as $\left( 1+\mathrm{\mu }l_{\mathrm{AdS}_{3}}\right) ^{2}s\left( s-1\right) +\left[1-\left( \mathrm{\mu }l_{\mathrm{AdS}_{3}}\right) ^{2}\left( s-1\right) \right]$.https://scipost.org/SciPostPhys.18.6.173
spellingShingle Rajae Sammani, El Hassan Saidi
Higher spin swampland conjecture for massive AdS$_{3}$ gravity
SciPost Physics
title Higher spin swampland conjecture for massive AdS$_{3}$ gravity
title_full Higher spin swampland conjecture for massive AdS$_{3}$ gravity
title_fullStr Higher spin swampland conjecture for massive AdS$_{3}$ gravity
title_full_unstemmed Higher spin swampland conjecture for massive AdS$_{3}$ gravity
title_short Higher spin swampland conjecture for massive AdS$_{3}$ gravity
title_sort higher spin swampland conjecture for massive ads 3 gravity
url https://scipost.org/SciPostPhys.18.6.173
work_keys_str_mv AT rajaesammanielhassansaidi higherspinswamplandconjectureformassiveads3gravity