Weak gravity conjecture, black hole entropy, and modular invariance

Aalsma, Lars; Cole, Alex; Shiu, Gary

doi:10.1007/jhep08(2019)022

Cited by 36 publications

(39 citation statements)

References 62 publications

(114 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Being supersymmetric and, hence, extremal, the mass of the black hole coincides with the sum (up to moduli factors) of the four charges associated to the constituents. This computation reveals that the charge-to-mass ratio of these configurations is not modified by higher-curvature corrections, a behaviour that has been argued to occur in nonsupersymmetric extremal black holes [37][38][39].…”

Section: Four-charge Black Holementioning

confidence: 58%

Exact charges from heterotic black holes

Faedo

Ramírez

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We derive exact relations to all orders in the α ′ expansion for the charges of a bound system of heterotic strings, solitonic 5-branes and, optionally, a Kaluza-Klein monopole. The expressions, which differ from those of the zeroth-order supergravity approximation, coincide with the values obtained when only the corrections of quadratic order in curvature are included. Our computation relies on the consistency of string theory as a quantum theory of gravity; the relations follow from the matching of the Wald entropy with the microscopic degeneracy. In the heterotic frame, the higher-curvature terms behave as delocalized sources that introduce a shift between near-horizon and asymptotic charges. On the other hand, when described in terms of lower-dimensional effective fields, the solution carries constant charges over space which coincide with those of the asymptotic heterotic fields. In addition, we describe why the Gauss-Bonnet term, which only captures a subset of the relevant corrections of quadratic order in curvature, in some cases succeeds to reproduce the correct value for the Wald entropy, while fails in others.

show abstract

Section: Four-charge Black Holementioning

confidence: 58%

Exact charges from heterotic black holes

Faedo

Ramírez

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Hence, it has little predictive power about low energy effective theories in itself. It has been recently suggested that it might be possible to relate the mild and strong versions of the WGC using modular invariance of string theory [15]. Given the growing amount of evidence in favor of the mild WGC, this seems a promising idea and it would be interesting to test it for a regular extremal black hole system of string theory.…”

Section: Discussionmentioning

confidence: 99%

“…On the other hand, the latter possibility corresponds to a milder version of the conjecture that would just provide information about states far heavier than the Planck mass, and hence it is less useful for the swampland program. Of course, the two scenarios are not mutually exclusive, and it is conceivable that they might be related [15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the extremality bound of stringy black holes

Cano

Ortı́n

Ramírez

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

A mild version of the weak gravity conjecture (WGC) states that extremal black holes have charge-to-mass ratio larger or equal than one when higher-curvature interactions are taken into account. Since these corrections become more relevant in the low-mass regime, this would allow the decay of extremal black holes in terms of energy and charge conservation. Evidence in this direction has been mainly given in the context of corrections to Einstein-Maxwell theory. Here we compute corrections to the charge-to-mass ratio of some dyonic extremal black holes explicitly embedded in the heterotic string effective theory. We find that modifications of the extremality bound depend on the solution considered, with the chargeto-mass ratio remaining unchanged or deviating positively from one. Additionally, we observe that the introduction of the higher-curvature terms increases the Wald entropy in all cases considered, whose variation does not seem to be correlated with the charge-to-mass ratio, contrary to the situation in Einstein-Maxwell theory.

show abstract

“…In [38,39,54], another SLð2; ZÞ symmetry, i.e., the modular symmetry of the 2D CFT of the worldsheet (or the holographic dual) was used to upgrade the WGC to stronger forms. See Sec.…”

Section: Introductionmentioning

confidence: 99%

Duality and axionic weak gravity

et al. 2020

Self Cite

View full text Add to dashboard Cite

The axionic weak gravity conjecture predicts the existence of instantons whose actions are less than their charges in appropriate units. We show that the conjecture is satisfied for the axion-dilaton-gravity system if we assume duality constraints on the higher derivative corrections in addition to positivity bounds which follow from unitarity, analyticity, and locality of UV scattering amplitudes. On the other hand, the conjecture does not follow if we assume the positivity bounds only. This presents an example where derivation of the weak gravity conjecture requires more detailed UV information than the consistency of scattering amplitudes.

show abstract

Weak gravity conjecture, black hole entropy, and modular invariance

Cited by 36 publications

References 62 publications

Exact charges from heterotic black holes

Exact charges from heterotic black holes

On the extremality bound of stringy black holes

Duality and axionic weak gravity

Contact Info

Product

Resources

About