Thermodynamics of 4D dilatonic black holes and the weak gravity conjecture

Taking a thermodynamic perspective, we study the weak gravity conjecture in the context of four-dimensional Einstein-Maxwell-dilaton theory. We find closed-form expressions for the corrected thermodynamic quantities in the presence of four-derivative terms in the action, and in particular the charge...

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Bibliographic Details
Published in:Physical review. D 2020-08, Vol.102 (4), p.1, Article 046010
Main Authors: Loges, Gregory J., Noumi, Toshifumi, Shiu, Gary
Format: Article
Language:English
Subjects:
Black holes
Dilatons
Gravitation
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Summary:Taking a thermodynamic perspective, we study the weak gravity conjecture in the context of four-dimensional Einstein-Maxwell-dilaton theory. We find closed-form expressions for the corrected thermodynamic quantities in the presence of four-derivative terms in the action, and in particular the charge-to-mass ratio and entropy, for several families of solutions of special magnetic-to-electric charge ratio or dilaton coupling constant. Assuming that dyonic black holes themselves are the conjectured charged states, this places constraints on the Wilson coefficients of the theory which we show are satisfied for several generic UV completions.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.102.046010