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Higher spin swampland conjecture for massive AdS$_{3}$ gravity
by R. Sammani, E. H Saidi
Submission summary
Authors (as registered SciPost users):  Rajae Sammani 
Submission information  

Preprint Link:  https://arxiv.org/abs/2406.09151v1 (pdf) 
Date submitted:  20240726 16:36 
Submitted by:  Sammani, Rajae 
Submitted to:  SciPost Physics 
Ontological classification  

Academic field:  Physics 
Specialties: 

Approach:  Theoretical 
Abstract
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 (s1\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+\mu l_{AdS_{3}} \right ) ^{2} s \left ( s1 \right ) +[1 \left ( \mu l_{AdS_{3}} \right ) ^{2} \left ( s1 \right ) ]$.
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