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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/2406.09151v3  (pdf)
Date accepted: May 15, 2025
Date submitted: April 14, 2025, 1:24 p.m.
Submitted by: Sammani, Rajae
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
  • Mathematical Physics
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 (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+\mu l_{AdS_{3}} \right ) ^{2} s \left ( s-1 \right ) +[1- \left ( \mu l_{AdS_{3}} \right ) ^{2} \left ( s-1 \right ) ]$.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #2 by Anonymous (Referee 2) on 2025-5-10 (Invited Report)

Report

I thank the authors for their efforts in clarifying the relation between charge and spin. It is true that settling the issue discussed in my previous report would probably require more work in extremality bounds for black holes in 3D higher spin massive gravity.

Recommendation

Publish (meets expectations and criteria for this Journal)

  • validity: good
  • significance: high
  • originality: high
  • clarity: good
  • formatting: excellent
  • grammar: excellent

Report #1 by Anonymous (Referee 1) on 2025-4-29 (Invited Report)

Report

I thank the authors for addressing the remaining point raised by both referees.

In the revised version, the authors have enhanced their discussion in section 4.1 by providing a better justification for their identification of $j(j+1)$ with $s(s-1)$. They accomplish this through a comparison between the charge term in super-extremality conditions for particle states in D-dimensional effective theories coupled to gravity and the notion of higher spin charge relevant to their case. The authors now also elaborate on how, in the Kerr-Newman scenario, one can go from bounds on particle states to bounds on black holes, while explaining why they believe a similar derivation in their context is too challenging to include in the present work and needs to be deferred to future research.

I believe the authors have now more effectively addressed the remaining issue with the manuscript, highlighting the limitations of their current analysis. I would encourage them to emphasize these points in their conclusions as well, reiterating the need for future work to fully address this matter. With these considerations in mind, I am happy to recommend this work for publication.

Recommendation

Publish (meets expectations and criteria for this Journal)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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