Title: A new spin on the Weak Gravity Conjecture

Abstract

The mild form of the Weak Gravity Conjecture states that quantum or higher-derivative corrections should decrease the mass of large extremal charged black holes at fixed charge. This allows extremal black holes to decay, unless protected by a symmetry (such as supersymmetry). We reformulate this conjecture as an integrated condition on the effective stress tensor capturing the effect of quantum or higher-derivative corrections. In addition to charged black holes, we also consider rotating BTZ black holes and show that this condition is satisfied as a consequence of the $$\textit{c}$$-theorem, proving a spinning version of the Weak Gravity Conjecture. We also apply our results to a five-dimensional boosted black string with higher-derivative corrections. The boosted black string has a BTZ×$S^2$ near-horizon geometry and, after Kaluza-Klein reduction, describes a four-dimensional charged black hole. Combining the spinning and charged Weak Gravity Conjecture we obtain positivity bounds on the five-dimensional Wilson coefficients that are stronger than those obtained from charged black holes alone.

Authors:

Aalsma, Lars  ^[1];

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Cole, Alex ^[2]; Loges, Gregory J. ^[1]; Shiu, Gary ^[1]

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+ Show Author Affiliations

1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
2. Univ. of Amsterdam (Netherlands). Inst. of Physics, GRAPPA and ITFA

Publication Date:

Mon Mar 08 00:00:00 EST 2021

Research Org.:

Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Org.:

USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:

1852385

Grant/Contract Number:  

SC0017647; NSF PHY-1748958

Resource Type:

Accepted Manuscript

Journal Name:

Journal of High Energy Physics (Online)

Additional Journal Information:

Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:

Springer Nature

Country of Publication:

United States

Language:

English

Subject:

79 ASTRONOMY AND ASTROPHYSICS; Physics; Black Holes in String Theory; Models of Quantum Gravity; AdS-CFT Correspondence