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REVIEW 3 major objections 5 minor 97 references

De Sitter space constraints on brane tensions and couplings

T0 review · 3 major / 5 minor · reviewed 2026-08-12 · deepseek-v4-flash

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Pith's one-line read The paper argues that the Festina Lente bound on charged particles extends to p-branes, giving new constraints on brane tensions and world-volume couplings in de Sitter space.

desk verdict A careful, honestly-caveated extension of Festina Lente to p-branes; the bounds inherit the unproven crunch assumption, so the verdict is conditional, but the paper deserves a serious referee. read the letter →

arxiv 2411.14529 v2 pith:73CXJNDY submitted 2024-11-21 hep-th gr-qchep-ph

Saquib Hassan , Georges Obied , John March-Russell This is my paper · ORCID
classification hep-thgr-qchep-ph MSC 83C5783E3081T30 PACS 04.70.-s11.25.-w98.80.-k
keywords deSitterspaceFestinaLenteboundbranetensionsNariaiblackholesD-branesChern-SimonscouplingsSchwingereffectquantumgravity
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper argues that the Festina Lente bound — which forbids charged particles in de Sitter space from being too light — extends to extended objects: branes that couple to an ordinary one-form gauge field through a Chern–Simons term on their world-volume. Using brane nucleation around charged Nariai black holes as the brane analogue of Schwinger pair production, the authors derive bounds on each brane tension $T_p$ in terms of its coupling $g$, the Hubble rate $H$, and the Planck mass. For branes with world-volume gauge fields these bounds take the form $T_p^{\frac{1}{p+1}+\frac{4-p}{4}} \gtrsim g M_d^{(d-2)/2} H$ or $T_p^{\frac{4-p}{4}} \gtrsim g M_d^{(d-2)/2}$ for even $p \neq 4$, with the analogous $(3-p)/4$ exponents for odd $p \neq 3$; a separate bound $T_2 \gtrsim (g M_{\mathrm{Pl}} H)^{3/2}$ applies to 2-branes without world-volume gauge fields, unless a light axion screens the electric field. The authors then compare these bounds with wrapped and unwrapped D-branes of Type II string theory in the weak-coupling limit and find that all are satisfied, which they present as evidence for the Festina Lente conjecture. The bounds are bottom-up, independent of any particular ultraviolet completion, so they would constrain any low-energy theory with de Sitter vacua.

What carries the argument

The central object is the Nariai black hole, the extremal charged black hole in de Sitter space whose near-horizon geometry is $\mathrm{dS}_2 \times S^2$ and whose electric field scales as $E \sim M_d^{(d-2)/2} H$. Brane nucleation is treated as the brane analogue of Schwinger pair production: a spherical bubble with a non-trivial world-volume gauge-field profile, which acquires induced charges through the Wess–Zumino coupling and screens the background field. For $p=2$ the bounce is solved explicitly; for general $p$ the paper uses a scaling argument: the Euclidean action is extremized at a critical radius $R_* \sim T_p^{(4-p)/4}/(gE)$ (even case) or $R_* \sim T_p^{(3-p)/4}/(gE)$ (odd case), giving a bounce action $I_B \sim T_p^{2-p(p-3)/4}/(gE)^{p+1}$ (even) or $T_p^{7/4-p(p-2)/4}/(gE)^{p+1}$ (odd). Requiring $I_B \gtrsim O(1)$ or $R_* \gtrsim H^{-1}$ yields the FL inequalities. In the string-theory comparison, the same quantities are evaluated using D-brane tensions $M_s^{p+1}/g_s$ and the couplings read off from the DBI and Chern–Simons actions after canonical normalization.

What would settle it

A direct numerical evolution of the $\mathrm{dS}_2 \times S^2$ patch with fast brane screening, checking whether the sphere collapses within a Hubble time, would settle whether the bounds hold; for $p=3$ and $p=4$, constructing the Euclidean bounce and testing whether its action scales as assumed is a sharper check.

Watch

Extended reading notes

Core claim

The paper's central claim is that the Festina Lente mechanism, originally formulated for charged particles, also constrains extended objects. If a p-brane with a world-volume Chern–Simons coupling can nucleate rapidly around a charged Nariai black hole and screen its electric field, the $\mathrm{dS}_2 \times S^2$ spacetime is driven into a super-extremal crunch; forbidding that decay gives inequalities that are lower bounds on $T_p$ for $p<4$ (odd $p<3$) and upper bounds for $p>4$ (odd $p>3$). For the world-volume actions (3.19) and (3.30), the bounds are $T_p^{\frac{1}{p+1}+\frac{4-p}{4}} \gtrsim g M_d^{(d-2)/2} H$ or $T_p^{\frac{4-p}{4}} \gtrsim g M_d^{(d-2)/2}$ for even $p\neq 4$, and the same form with $(3-p)/4$ for odd $p\neq 3$. The $p=2$ case is solved explicitly with an $O(4)$-symmetric Euclidean instanton; the higher-$p$ cases are obtained by scaling arguments. The paper further claims that all Type II D-branes, unwrapped and wrapped, satisfy these inequalities in the weak-coupling limit, with the bubble-radius condition saturated, and that the no-gauge-field 2-brane bound is evaded in theories with a light axion.

Load-bearing premise

The argument assumes, rather than proves, that when nucleated branes rapidly screen the electric field of the largest possible charged black hole in de Sitter space, the spacetime collapses into a forbidden crunch, and that the needed tunneling solutions exist for every brane dimension; if either assumption fails, the derived bounds do not follow.

Editorial extensions

If this is right

  • Any low-energy theory with a U(1) gauge field and a p-brane carrying the assumed world-volume coupling must have its brane tension inside the allowed range if the theory is to live in (quasi-)de Sitter space; the constraint is bottom-up and requires no particular ultraviolet completion.
  • In Type II string theory, all D-branes considered — unwrapped and wrapped, even and odd $p$ — satisfy the new inequalities in the weak-coupling limit, typically saturating the bubble-radius condition; the authors take this as evidence for the Festina Lente conjecture.
  • For branes of high dimension ($p>4$ even, $p>3$ odd), the Festina Lente bound becomes an upper bound on tension, in the same direction as the Weak Gravity Conjecture, while for low-dimensional branes it is a lower bound.
  • The 2-brane bound without world-volume gauge fields, $T_2 \gtrsim (g M_{\mathrm{Pl}} H)^{3/2}$, does not apply to axion domain walls, because a light axion classically screens the dyonic Nariai electric field; this is an explicit loophole in the argument.
  • If the Hubble scale during inflation is known, the 2-brane bound implies lower limits on the string-scale/string-coupling combination that sets the D2-brane tension, which the paper notes could have phenomenological consequences.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Extension: the $p=3$ and $p=4$ gaps left by the accidental scaling symmetry suggest that extra world-volume couplings are needed to fix the bubble radius; classifying those couplings and deriving the resulting bounds is a natural next step.
  • Extension: the light-axion loophole may be general: any dynamical field that can classically screen electric fields in de Sitter could weaken or invalidate brane FL bounds, so the constraints likely apply sector by sector, not to the whole low-energy theory.
  • Extension: since wrapped branes satisfy the bounds more easily than unwrapped ones, a testable place to look for a violation is a compactification where a brane wraps a non-minimal meta-stable cycle; the paper itself identifies this as a potentially interesting check.
  • Extension: if the fast-screening-to-crunch assumption survives a full dynamical calculation, the same logic could constrain other world-volume and axionic couplings beyond the specific Chern–Simons terms treated here.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The paper argues that the Festina Lente (FL) bound, originally formulated for charged particles in de Sitter space, generalizes to p-branes with world-volume gauge fields coupled to a bulk U(1) gauge field via Chern-Simons/Wess-Zumino terms. For even and odd p (excluding p=3,4), the authors derive parametric lower/upper bounds on brane tensions in terms of the coupling g, the Planck mass, and the Hubble scale, eqs. (1.4)-(1.5), (3.27), (3.37). The p=2 case is supported by an explicit Euclidean instanton calculation (Sec. 3.1); higher-p cases rely on scaling arguments. The paper also studies branes without world-volume gauge fields (Sec. 4), obtaining a bound T_2 ≳ (g M_Pl H)^{3/2} with an axion loophole. Section 5 compares the bounds to Type II D-branes and finds that they are satisfied at weak string coupling and large internal volume, providing evidence for the FL conjecture.

Significance. If correct, the results constitute new swampland-type constraints on brane tensions in de Sitter space, extending FL to extended objects without assuming a specific UV completion. The p=2 instanton construction is explicit and self-contained, and the string-theory comparison uses independent D-brane tensions and Chern-Simons couplings rather than parameters fitted to the bounds, making it a non-trivial consistency check. The paper is commendably transparent about its assumptions, including the unproven FL screening-to-crunch mechanism and the assumption that instanton solutions with the assumed scaling exist for p>2. The main value of the paper is as a conjecture with a top-down check; its limitations are clearly acknowledged in the body but should be reflected more prominently in the abstract.

major comments (3)
  1. [Sec. 2 and Sec. 3 (after eq. (3.15))] The derivation of the brane FL bounds relies on the assumption that rapid electric-field screening by brane nucleation converts the field energy into an incoherent bath and drives the dS2 x S2 Nariai spacetime into a super-extremal crunch. The authors state this explicitly: 'we may treat this behaviour as an assumption' (Sec. 2) and 'This is an important assumption and if it proves to be inaccurate, it can affect the conclusion of our analysis' (Sec. 3). The cited tunneling analysis [58] finds no exit from the extremal region for the single-particle decay channel when back-reaction is included, and the multi-particle/annihilation regime relevant here is not analyzed. Therefore the bounds (1.4)-(1.5), (3.27), (3.37) are conditional on an unresolved physical mechanism. If the paper is intended as a conjecture under the FL assumption, this should be stated in the abstract; if it is intended as a derivation, this gap blocks the central claim.
  2. [Sec. 3.2 and Sec. 3.3 (eqs. (3.23)-(3.26), (3.34)-(3.36), and Sec. 3.4)] The bounds for general p are obtained by scaling arguments that assume the existence of non-trivial Euclidean instanton solutions with the scaling F^(B) ∝ (gE)^{2/(4-p)} for even p and F^(B) ∼ dθ ∼ (gE)^{2/(3-p)} for odd p. Only the p=2 case is explicitly constructed (Sec. 3.1). Section 3.4 shows that the p=3 and p=4 cases have an accidental scaling symmetry and are left unresolved, yet the abstract claims bounds on p-branes without these exceptions. This is a load-bearing gap in the generalization; either construct the solutions (at least for p=3,4) or explicitly restrict the claims.
  3. [Sec. 5.1-5.2 (eqs. (5.3)-(5.8) and the wrapped-brane discussion)] The verification that all D-branes satisfy the bounds uses the radius condition (the second inequality in (3.27) and (3.37)) as the operative constraint and assumes H < M_s, parametrically weak string coupling, and, for wrapped branes, isotropic and factorizable internal manifolds (V_n = L^n) with small RR flux numbers. The authors themselves warn that the volume scaling 'may not be valid in highly anisotropic manifolds' (Sec. 5.1), and no explicit dS compactification is constructed. Thus the statement that all constraints are satisfied by D-branes is established only for a restricted class of geometries and parameters; this weakens the evidence claim but does not affect the explicit p=2 check.
minor comments (5)
  1. [Abstract and eqs. (1.4)-(1.5), (3.27), (3.37)] The 'or' between the two conditions in these equations should be stated as a min (for lower bounds on T) or max (for upper bounds on T), as already done in eq. (3.15) and in Sec. 5.2; as written, the reader may not know which inequality is the operative one.
  2. [Abstract] The abstract states 'bounds on the tensions of p-branes' without noting the p=3,4 exceptions or the conditional status of the derivation; suggest adding a phrase such as 'for p≠3,4, under the Festina Lente assumptions'.
  3. [Sec. 3.1, eq. (3.10)] The solution A^(B)_φ = K cos²(τ_E/r_*) sin²σ is stated to solve eq. (3.9); a brief verification or a reference to a similar calculation would help the reader confirm the absence of a missing factor.
  4. [Sec. 5.1, after eq. (5.10)] The notation V_n is used both for the physical volume and for the string-unit volume (V_n ≡ M_s^n V_n); please use a distinct symbol for the physical volume to avoid confusion.
  5. [Sec. 4.2] In the argument using the WGC and FL to derive gM_Pl ≳ H, state explicitly that q=1 is assumed; otherwise the inequality should read g q M_Pl ≳ H.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the brane-tension bounds are derived from the explicitly stated FL screening assumption and checked against independent D-brane data, not fitted or defined into existence.

full rationale

The brane-tension bounds in eqs. (1.4)-(1.5), (3.27), and (3.37) are obtained by a scaling evaluation of the Euclidean action for the generic world-volume couplings in eqs. (3.19) and (3.30), not by assuming the bounds themselves. The only load-bearing premise is the Festina Lente mechanism (rapid screening drives the Nariai spacetime to a super-extremal crunch), which the paper explicitly states as an assumption: 'we may treat this behaviour as an assumption in our analysis' (Sec. 2) and 'This is an important assumption and if it proves to be inaccurate, it can affect the conclusion of our analysis' (Sec. 3). An unproven input is a conditionality, not circularity. The Sec. 5 string-theory check reads T_p and g_p from the DBI and CS actions (eqs. 5.1-5.6) and verifies the inequalities; the fact that D-branes saturate the radius bound is an algebraic identity from those definitions, but the bounds were derived for arbitrary T_p and g, so the check is a genuine consistency test, not a fitted prediction. The self-citation [66] supplies an independent calculation of the axion domain-wall nucleation rate used in Sec. 4; it is parameter-free with respect to the present bounds and therefore real evidence rather than circular support. The paper's explicit caveats about back-reaction and the open status of the FL mechanism further confirm that no circular reduction is present.

Assumptions & free parameters 1 free parameters · 6 assumptions · 0 invented entities

No new particles, forces, or dimensions are introduced. The analysis uses known D-branes, RR fields, and axions. The only free parameter is the undetermined O(1) coefficient in each bound. The FL mechanism and the existence of scaling instanton solutions are the main postulates, along with several regime assumptions for the string theory check.

free parameters (1)
  • O(1) numerical coefficients in brane FL bounds
    The derivation fixes only the scaling behavior; the prefactors in R_*, I_B, and the bounds (eqs. 3.15, 3.27, 3.37, 4.9) are undetermined. The paper explicitly says it cannot fix any O(1) numbers.
assumptions (6)
  • domain assumption Fast electric-field screening by brane nucleation drives the Nariai spacetime to a super-extremal crunch that must be excluded (the FL mechanism).
    Taken from [16]; the paper treats this as an assumption in Section 2: 'we may treat this behaviour as an assumption in our analysis'.
  • ad hoc to paper Non-trivial Euclidean instanton solutions with the assumed scaling exist for the brane nucleation for all p except p=3,4.
    Section 3.2 states 'they assume such a solution exists'; for p>2 no explicit solution is constructed.
  • domain assumption The brane nucleation and annihilation process converts an O(1) fraction of the electromagnetic energy into a non-coherent bath.
    Section 3 states 'we assume that this creation and annihilation process occurs and converts an O(1) fraction of the energy...' and that inaccuracy could affect the conclusion.
  • domain assumption D-brane properties in Type II string theory are not modified significantly in de Sitter constructions.
    Section 5: 'under the assumption that these properties are not modified significantly in de Sitter constructions'.
  • domain assumption Internal cycles used for wrapped-brane checks are isotropic or factorizable.
    Section 5.1 warns 'this may not be valid in highly anisotropic manifolds'.
  • domain assumption The parametrically weak coupling limit is a valid regime for the string theory comparison, even though dS vacua may not exist there.
    Section 5.4 and [74]; the paper acknowledges 'it may be impossible to find dS solutions at parametrically weak coupling'.

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Cite this review

Pith. "Pith review of De Sitter space constraints on brane tensions and couplings." pith.science (2026). https://pith.science/paper/73CXJNDY

@misc{pith2026241114529,
  author       = {Pith},
  title        = {Pith review of: De Sitter space constraints on brane tensions and couplings},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/73CXJNDY}},
  note         = {Machine review of arXiv:2411.14529}
}
abstract

We argue for the existence of bounds on the tensions of $p$-branes in de Sitter space in terms of the Hubble rate and the strength of a class of Chern-Simons-like couplings. The world-volume couplings involve Abelian 1-form gauge fields in the bulk and possibly field strengths intrinsic to the brane. In many cases these couplings are the D-brane Chern-Simons terms present in string theory, while in other cases they are the interactions of axion domain walls with $U(1)$ fields. Our arguments use the same logic and assumptions as the recent Festina Lente proposal (thus utilizing the properties of Nariai de Sitter black holes) and generalize it to extended objects, thereby providing a bottom-up set of constraints independent of any particular UV completion. We compare these bounds to the properties of (wrapped) D-branes in Type II string theory in the weak coupling limit, under the assumption that these properties are not modified significantly in de Sitter constructions. We find that all constraints are satisfied by D-branes, providing further evidence for the Festina Lente conjecture. For the particular case of 2-branes with Chern-Simons interactions we obtain a bound, which however can be evaded if the theory contains a light axion. Similarly, we find the bounds do not apply to axion domain walls due to the presence of the axion.

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Reference graph

Works this paper leans on

97 extracted references · 15 canonical work pages

  1. [58]

    Aalsma, J.P

    L. Aalsma, J.P. van der Schaar and M. Visser, Extremal Black Hole Decay in de Sitter Space, 2311.13742

    arXiv

  2. [1]

    Vafa, The String landscape and the swampland , hep-th/0509212

    C. Vafa, The String landscape and the swampland , hep-th/0509212

    arXiv

  3. [2]

    Ooguri and C

    H. Ooguri and C. Vafa, On the Geometry of the String Landscape and the Swampland , Nucl. Phys. B 766 (2007) 21 [ hep-th/0605264]

    arXiv 2007

  4. [3]

    Palti, The Swampland: Introduction and Review , Fortsch

    E. Palti, The Swampland: Introduction and Review , Fortsch. Phys. 67 (2019) 1900037 [1903.06239]

    arXiv 2019

  5. [4]

    Grana and A

    M. Grana and A. Herr´ aez,The swampland conjectures: a bridge from quantum gravity to particle physics , Universe 7 (2021) 273

    2021

  6. [5]

    van Beest, J

    M. van Beest, J. Calder´ on-Infante, D. Mirfendereski and I. Valenzuela, Lectures on the Swampland Program in String Compactifications , Phys. Rept. 989 (2022) 1 [2102.01111]

    arXiv 2022

  7. [6]

    Agmon, A

    N.B. Agmon, A. Bedroya, M.J. Kang and C. Vafa, Lectures on the string landscape and the Swampland , 2212.06187

    arXiv

  8. [7]

    H.-C. Kim, G. Shiu and C. Vafa, Branes and the Swampland , Phys. Rev. D 100 (2019) 066006 [1905.08261]

    arXiv 2019

Show all 97 references
  1. [8]

    Adams, O

    A. Adams, O. DeWolfe and W. Taylor, String universality in ten dimensions , Phys. Rev. Lett. 105 (2010) 071601 [ 1006.1352]

    2010 arXiv

  2. [9]

    Montero and C

    M. Montero and C. Vafa, Cobordism Conjecture, Anomalies, and the String Lamppost Principle, JHEP 01 (2021) 063 [ 2008.11729]

    2021 arXiv

  3. [10]

    Montero, A Holographic Derivation of the Weak Gravity Conjecture , JHEP 03 (2019) 157 [ 1812.03978]

    M. Montero, A Holographic Derivation of the Weak Gravity Conjecture , JHEP 03 (2019) 157 [ 1812.03978]

    2019 arXiv

  4. [11]

    Harlow and H

    D. Harlow and H. Ooguri, Constraints on Symmetries from Holography , Phys. Rev. Lett. 122 (2019) 191601 [ 1810.05337]

    2019 arXiv

  5. [12]

    Harlow and H

    D. Harlow and H. Ooguri, Symmetries in quantum field theory and quantum gravity , Commun. Math. Phys. 383 (2021) 1669 [ 1810.05338]. – 57 –

    2021 arXiv

  6. [13]

    Susskind, Trouble for remnants, hep-th/9501106

    L. Susskind, Trouble for remnants, hep-th/9501106

    arXiv

  7. [14]

    Arkani-Hamed, L

    N. Arkani-Hamed, L. Motl, A. Nicolis and C. Vafa, The String landscape, black holes and gravity as the weakest force , JHEP 06 (2007) 060 [ hep-th/0601001]

    2007 arXiv

  8. [15]

    Montero, C

    M. Montero, C. Vafa, T. Van Riet and G. Venken, The FL bound and its phenomenological implications, JHEP 10 (2021) 009 [ 2106.07650]

    2021 arXiv

  9. [16]

    Montero, T

    M. Montero, T. Van Riet and G. Venken, Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter , JHEP 01 (2020) 039 [ 1910.01648]

    2020 arXiv

  10. [17]

    Harlow, B

    D. Harlow, B. Heidenreich, M. Reece and T. Rudelius, Weak gravity conjecture, Rev. Mod. Phys. 95 (2023) 035003 [ 2201.08380]

    2023 arXiv

  11. [18]

    Heidenreich, M

    B. Heidenreich, M. Reece and T. Rudelius, Sharpening the Weak Gravity Conjecture with Dimensional Reduction , JHEP 02 (2016) 140 [ 1509.06374]

    2016 arXiv

  12. [19]

    Penrose, Gravitational collapse: The role of general relativity , Riv

    R. Penrose, Gravitational collapse: The role of general relativity , Riv. Nuovo Cim. 1 (1969) 252

    1969

  13. [20]

    Horowitz, J.E

    G.T. Horowitz, J.E. Santos and B. Way, Evidence for an Electrifying Violation of Cosmic Censorship , Class. Quant. Grav. 33 (2016) 195007 [ 1604.06465]

    2016 arXiv

  14. [21]

    Crisford and J.E

    T. Crisford and J.E. Santos, Violating the Weak Cosmic Censorship Conjecture in Four-Dimensional Anti–de Sitter Space , Phys. Rev. Lett. 118 (2017) 181101 [1702.05490]

    2017 arXiv

  15. [22]

    Crisford, G.T

    T. Crisford, G.T. Horowitz and J.E. Santos, Testing the Weak Gravity - Cosmic Censorship Connection, Phys. Rev. D 97 (2018) 066005 [ 1709.07880]

    2018 arXiv

  16. [23]

    Nakayama and Y

    Y. Nakayama and Y. Nomura, Weak gravity conjecture in the AdS/CFT correspondence, Phys. Rev. D 92 (2015) 126006 [ 1509.01647]

    2015 arXiv

  17. [24]

    Harlow, Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture , JHEP 01 (2016) 122 [ 1510.07911]

    D. Harlow, Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture , JHEP 01 (2016) 122 [ 1510.07911]

    2016 arXiv

  18. [25]

    Benjamin, E

    N. Benjamin, E. Dyer, A.L. Fitzpatrick and S. Kachru, Universal Bounds on Charged States in 2d CFT and 3d Gravity , JHEP 08 (2016) 041 [ 1603.09745]

    2016 arXiv

  19. [26]

    Montero, G

    M. Montero, G. Shiu and P. Soler, The Weak Gravity Conjecture in three dimensions , JHEP 10 (2016) 159 [ 1606.08438]

    2016 arXiv

  20. [27]

    Banks, M

    T. Banks, M. Johnson and A. Shomer, A Note on Gauge Theories Coupled to Gravity , JHEP 09 (2006) 049 [ hep-th/0606277]

    2006 arXiv

  21. [28]

    Hod, A proof of the weak gravity conjecture , Int

    S. Hod, A proof of the weak gravity conjecture , Int. J. Mod. Phys. D 26 (2017) 1742004 [1705.06287]

    2017 arXiv

  22. [29]

    Hebecker and P

    A. Hebecker and P. Soler, The Weak Gravity Conjecture and the Axionic Black Hole Paradox, JHEP 09 (2017) 036 [ 1702.06130]. – 58 –

    2017 arXiv

  23. [30]

    Cheung, J

    C. Cheung, J. Liu and G.N. Remmen, Proof of the Weak Gravity Conjecture from Black Hole Entropy , JHEP 10 (2018) 004 [ 1801.08546]

    2018 arXiv

  24. [31]

    Adams, N

    A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion , JHEP 10 (2006) 014 [hep-th/0602178]

    2006 arXiv

  25. [32]

    Hamada, T

    Y. Hamada, T. Noumi and G. Shiu, Weak Gravity Conjecture from Unitarity and Causality, Phys. Rev. Lett. 123 (2019) 051601 [ 1810.03637]

    2019 arXiv

  26. [33]

    Venken, Cosmological phase transitions and the swampland , JHEP 02 (2024) 114 [2311.04955]

    V. Venken, Cosmological phase transitions and the swampland , JHEP 02 (2024) 114 [2311.04955]

    2024 arXiv

  27. [34]

    Mishra, Confinement in de Sitter space and the swampland , JHEP 01 (2023) 002 [2207.12364]

    R.K. Mishra, Confinement in de Sitter space and the swampland , JHEP 01 (2023) 002 [2207.12364]

    2023 arXiv

  28. [35]

    Lee, D.Y

    S.M. Lee, D.Y. Cheong, S.C. Hyun, S.C. Park and M.-S. Seo, Festina-Lente bound on Higgs vacuum structure and inflation , JHEP 02 (2022) 100 [ 2111.04010]

    2022 arXiv

  29. [36]

    Fr¨ ob, J

    M.B. Fr¨ ob, J. Garriga, S. Kanno, M. Sasaki, J. Soda, T. Tanaka et al., Schwinger effect in de Sitter space , JCAP 04 (2014) 009 [ 1401.4137]

    2014 arXiv

  30. [37]

    Brown, Schwinger pair production at nonzero temperatures or in compact directions, Physical Review D 98 (2018) 036008

    A.R. Brown, Schwinger pair production at nonzero temperatures or in compact directions, Physical Review D 98 (2018) 036008

    2018

  31. [38]

    Gould and A

    O. Gould and A. Rajantie, Thermal Schwinger pair production at arbitrary coupling , Phys. Rev. D 96 (2017) 076002 [ 1704.04801]

    2017 arXiv

  32. [39]

    Gould, S

    O. Gould, S. Mangles, A. Rajantie, S. Rose and C. Xie, Observing Thermal Schwinger Pair Production, Phys. Rev. A 99 (2019) 052120 [ 1812.04089]

    2019 arXiv

  33. [40]

    Draper, Virtual and Thermal Schwinger Processes , Phys

    P. Draper, Virtual and Thermal Schwinger Processes , Phys. Rev. D 98 (2018) 125014 [1809.10768]

    2018 arXiv

  34. [41]

    Samantray and S

    P. Samantray and S. Singh, Schwinger Effect in Compact Space , Phys. Rev. D 103 (2021) 125012 [ 2010.13453]

    2021 arXiv

  35. [42]

    Qiu and L

    Y. Qiu and L. Sorbo, Schwinger effect in compact space: a real time calculation , Phys. Rev. D 102 (2020) 045010 [ 2005.10121]

    2020 arXiv

  36. [43]

    Schwinger, On gauge invariance and vacuum polarization , Phys

    J.S. Schwinger, On gauge invariance and vacuum polarization , Phys. Rev. 82 (1951) 664

    1951

  37. [44]

    Heisenberg and H

    W. Heisenberg and H. Euler, Consequences of Dirac’s theory of positrons , Z. Phys. 98 (1936) 714 [ physics/0605038]

    1936 arXiv

  38. [45]

    Ai and M

    W.-Y. Ai and M. Drewes, Schwinger effect and false vacuum decay as quantum-mechanical tunneling of a relativistic particle , Phys. Rev. D 102 (2020) 076015 [2005.14163]. – 59 –

    2020 arXiv

  39. [46]

    Brown and C

    J.D. Brown and C. Teitelboim, Neutralization of the Cosmological Constant by Membrane Creation, Nucl. Phys. B 297 (1988) 787

    1988

  40. [47]

    Geroch and G.T

    R.P. Geroch and G.T. Horowitz, Global structure of spacetimes , in General Relativity: An Einstein Centenary Survey , pp. 212–293 (1979)

    1979

  41. [48]

    Choptuik, Universality and scaling in gravitational collapse of a massless scalar field, Phys

    M.W. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field, Phys. Rev. Lett. 70 (1993) 9

    1993

  42. [49]

    Christodoulou, Examples of naked singularity formation in the gravitational collapse of a scalar field , Annals Math

    D. Christodoulou, Examples of naked singularity formation in the gravitational collapse of a scalar field , Annals Math. 140 (1994) 607

    1994

  43. [50]

    Gundlach and J.M

    C. Gundlach and J.M. Martin-Garcia, Critical phenomena in gravitational collapse , Living Rev. Rel. 10 (2007) 5 [ 0711.4620]

    2007 arXiv

  44. [51]

    Bizon and A

    P. Bizon and A. Rostworowski, On weakly turbulent instability of anti-de Sitter space , Phys. Rev. Lett. 107 (2011) 031102 [ 1104.3702]

    2011 arXiv

  45. [52]

    Hiscock and L.D

    W.A. Hiscock and L.D. Weems, Evolution of Charged Evaporating Black Holes , Phys. Rev. D 41 (1990) 1142

    1990

  46. [53]

    Lin and G

    P. Lin and G. Shiu, Schwinger Effect of Extremal Reissner-Nordstr¨ om Black Holes, 2409.02197

    arXiv

  47. [54]

    Ong and Y

    Y.C. Ong and Y. Yao, Charged Particle Production Rate from Cosmic Censorship in Dilaton Black Hole Spacetimes , JHEP 10 (2019) 129 [ 1907.07490]

    2019 arXiv

  48. [55]

    Horowitz and A

    G.T. Horowitz and A. Sen, Rotating black holes which saturate a Bogomolny bound , Phys. Rev. D 53 (1996) 808 [ hep-th/9509108]

    1996 arXiv

  49. [56]

    Breckenridge, R.C

    J.C. Breckenridge, R.C. Myers, A.W. Peet and C. Vafa, D-branes and spinning black holes, Phys. Lett. B 391 (1997) 93 [ hep-th/9602065]

    1997 arXiv

  50. [57]

    Gimon and P

    E.G. Gimon and P. Horava, Over-rotating black holes, Godel holography and the hypertube, hep-th/0405019

    arXiv

  51. [59]

    Parikh and F

    M.K. Parikh and F. Wilczek, Hawking radiation as tunneling , Phys. Rev. Lett. 85 (2000) 5042 [ hep-th/9907001]

    2000 arXiv

  52. [60]

    J.L. Feng, J. March-Russell, S. Sethi and F. Wilczek, Saltatory relaxation of the cosmological constant, Nucl. Phys. B 602 (2001) 307 [ hep-th/0005276]

    2001 arXiv

  53. [61]

    Coleman, The Fate of the False Vacuum 1: Semiclassical Theory , Phys

    S. Coleman, The Fate of the False Vacuum 1: Semiclassical Theory , Phys. Rev. D 15 (1977) 2929

    1977

  54. [62]

    Coleman, Aspects of Symmetry: Selected Erice Lectures , Cambridge University Press, Cambridge, U.K

    S. Coleman, Aspects of Symmetry: Selected Erice Lectures , Cambridge University Press, Cambridge, U.K. (1985), 10.1017/CBO9780511565045. – 60 –

    1985 doi

  55. [63]

    Coleman, V

    S.R. Coleman, V. Glaser and A. Martin, Action Minima Among Solutions to a Class of Euclidean Scalar Field Equations , Commun. Math. Phys. 58 (1978) 211

    1978

  56. [64]

    Callan, Jr

    C.G. Callan, Jr. and S.R. Coleman, The Fate of the False Vacuum. 2. First Quantum Corrections, Phys. Rev. D 16 (1977) 1762

    1977

  57. [65]

    Coleman and F

    S.R. Coleman and F. De Luccia, Gravitational Effects on and of Vacuum Decay , Phys. Rev. D 21 (1980) 3305

    1980

  58. [66]

    Hassan, J

    S. Hassan, J. March-Russell and G. Obied, Chern-Simons bubbles: Lopsided false vacuum decay in axion electrodynamics , 2402.00119

    arXiv

  59. [67]

    Bergman, Quantum Hall physics in string theory , in 3rd International Symposium on Quantum Theory and Symmetries , pp

    O. Bergman, Quantum Hall physics in string theory , in 3rd International Symposium on Quantum Theory and Symmetries , pp. 198–205, 1, 2004, DOI [ hep-th/0401106]

    2004 arXiv

  60. [68]

    Lee and E.J

    K.-M. Lee and E.J. Weinberg, Charge black holes with scalar hair , Phys. Rev. D 44 (1991) 3159

    1991

  61. [69]

    Balakin and A.E

    A.B. Balakin and A.E. Zayats, Einstein–Maxwell-axion theory: dyon solution with regular electric field, Eur. Phys. J. C 77 (2017) 519 [ 1703.08858]

    2017 arXiv

  62. [70]

    Witten, Dyons of Charge eθ/2π, Phys

    E. Witten, Dyons of Charge eθ/2π, Phys. Lett. B 86 (1979) 283

    1979

  63. [71]

    Kachru, R

    S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, De Sitter vacua in string theory , Phys. Rev. D 68 (2003) 046005 [ hep-th/0301240]

    2003 arXiv

  64. [72]

    Cicoli, J.P

    M. Cicoli, J.P. Conlon and F. Quevedo, General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation , JHEP 10 (2008) 105 [ 0805.1029]

    2008 arXiv

  65. [73]

    Crin` o, F

    C. Crin` o, F. Quevedo and R. Valandro,On de Sitter String Vacua from Anti-D3-Branes in the Large Volume Scenario , JHEP 03 (2021) 258 [ 2010.15903]

    2021 arXiv

  66. [74]

    Dine and N

    M. Dine and N. Seiberg, Is the Superstring Weakly Coupled? , Phys. Lett. B 162 (1985) 299

    1985

  67. [75]

    Grimm, C

    T.W. Grimm, C. Li and I. Valenzuela, Asymptotic Flux Compactifications and the Swampland, JHEP 06 (2020) 009 [ 1910.09549]

    2020 arXiv

  68. [76]

    Rudelius, Asymptotic scalar field cosmology in string theory , JHEP 10 (2022) 018 [2208.08989]

    T. Rudelius, Asymptotic scalar field cosmology in string theory , JHEP 10 (2022) 018 [2208.08989]

    2022 arXiv

  69. [77]

    Susskind, The Anthropic landscape of string theory , hep-th/0302219

    L. Susskind, The Anthropic landscape of string theory , hep-th/0302219

    arXiv

  70. [78]

    Douglas, The Statistics of string / M theory vacua , JHEP 05 (2003) 046 [hep-th/0303194]

    M.R. Douglas, The Statistics of string / M theory vacua , JHEP 05 (2003) 046 [hep-th/0303194]

    2003 arXiv

  71. [79]

    Douglas and S

    M.R. Douglas and S. Kachru, Flux compactification, Rev. Mod. Phys. 79 (2007) 733 [hep-th/0610102]

    2007 arXiv

  72. [80]

    Denef, M.R

    F. Denef, M.R. Douglas and S. Kachru, Physics of String Flux Compactifications , Ann. Rev. Nucl. Part. Sci. 57 (2007) 119 [ hep-th/0701050]. – 61 –

    2007 arXiv

  73. [81]

    Linde, A brief history of the multiverse , Rept

    A. Linde, A brief history of the multiverse , Rept. Prog. Phys. 80 (2017) 022001 [1512.01203]

    2017 arXiv

  74. [82]

    Polchinski, String theory

    J. Polchinski, String theory. Vol. 1: An introduction to the bosonic string , Cambridge Monographs on Mathematical Physics, Cambridge University Press (12, 2007), 10.1017/CBO9780511816079

    2007 doi

  75. [83]

    Polchinski, String theory

    J. Polchinski, String theory. Vol. 2: Superstring theory and beyond , Cambridge Monographs on Mathematical Physics, Cambridge University Press (12, 2007), 10.1017/CBO9780511618123

    2007 doi

  76. [84]

    Conlon, The QCD axion and moduli stabilisation , JHEP 05 (2006) 078 [hep-th/0602233]

    J.P. Conlon, The QCD axion and moduli stabilisation , JHEP 05 (2006) 078 [hep-th/0602233]

    2006 arXiv

  77. [85]

    Svrcek and E

    P. Svrcek and E. Witten, Axions In String Theory , JHEP 06 (2006) 051 [hep-th/0605206]

    2006 arXiv

  78. [86]

    Collins, D

    T.C. Collins, D. Jafferis, C. Vafa, K. Xu and S.-T. Yau, On Upper Bounds in Dimension Gaps of CFT’s , 2201.03660

    arXiv

  79. [87]

    Huang, M

    Q.-G. Huang, M. Li and W. Song, Weak gravity conjecture in the asymptotical dS and AdS background, JHEP 10 (2006) 059 [ hep-th/0603127]

    2006 arXiv

  80. [88]

    Rudelius, Dimensional reduction and (Anti) de Sitter bounds , JHEP 08 (2021) 041 [2101.11617]

    T. Rudelius, Dimensional reduction and (Anti) de Sitter bounds , JHEP 08 (2021) 041 [2101.11617]

    2021 arXiv

  81. [89]

    Obied, H

    G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, De Sitter Space and the Swampland , 1806.08362

    arXiv

  82. [90]

    Guidetti, N

    V. Guidetti, N. Righi, G. Venken and A. Westphal, Axionic Festina Lente, JHEP 01 (2023) 114 [ 2206.03494]

    2023 arXiv

  83. [91]

    cajohare/axionlimits: Axionlimits

    C. O’Hare, “cajohare/axionlimits: Axionlimits.” https://cajohare.github.io/AxionLimits/, July, 2020. 10.5281/zenodo.3932430

    2020 doi

  84. [92]

    Tangherlini, Schwarzschild field in n dimensions and the dimensionality of space problem, Nuovo Cim

    F.R. Tangherlini, Schwarzschild field in n dimensions and the dimensionality of space problem, Nuovo Cim. 27 (1963) 636

    1963

  85. [93]

    Dias and J.P.S

    O.J.C. Dias and J.P.S. Lemos, Pair creation of higher dimensional black holes on a de Sitter background, Phys. Rev. D 70 (2004) 124023 [ hep-th/0410279]

    2004 arXiv

  86. [94]

    Myers and M.J

    R.C. Myers and M.J. Perry, Black Holes in Higher Dimensional Space-Times , Annals Phys. 172 (1986) 304

    1986

  87. [95]

    Astefanesei, R.B

    D. Astefanesei, R.B. Mann and E. Radu, Reissner-Nordstrom-de Sitter black hole, planar coordinates and dS / CFT , JHEP 01 (2004) 029 [ hep-th/0310273]

    2004 arXiv

  88. [96]

    Campbell, N

    B.A. Campbell, N. Kaloper and K.A. Olive, Axion hair for dyon black holes , Phys. Lett. B 263 (1991) 364

    1991

  89. [97]

    Fischler and J

    W. Fischler and J. Preskill, Dyon-Axion Dynamics , Phys. Lett. B 125 (1983) 165. – 62 –

    1983

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