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Published August 15, 2020 | Published + Submitted
Journal Article Open

Duality and axionic weak gravity

Abstract

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.

Additional Information

© 2020 The author(s).Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 27 May 2020; accepted 29 June 2020; published 12 August 2020. We would like to thank Yu-tin Huang and Pablo Soler for valuable discussions and comments on the earlier version of the draft. S. A. is supported by "Fondazione Angelo Della Riccia" Fellowship. T. N. is supported in part by JSPS KAKENHI Grants No. JP17H02894, No. JP18K13539 and No. JP20H01902, and MEXT KAKENHI Grant No. JP18H04352. The work of H. O. is supported in part by U. S. Department of Energy (DOE) Grant No. DE-SC0011632, by the World Premier International Research Center Initiative, MEXT, Japan, by JSPS Grant-in-Aid for Scientific Research C-26400240, and by JSPS Grant-in-Aid for Scientific Research on Innovative Areas 15H05895. G. S. is supported in part by the DOE Grant No. DE-SC0017647 and the Kellett Award of the University of Wisconsin. T. N. and G. S. gratefully acknowledge the hospitality of the Kavli Institute for Theoretical Physics (supported by NSF PHY-1748958) while part of this work was completed. H. O. thanks the Aspen Center for Theoretical Physics, which is supported by the National Science Foundation Grant No. PHY-1607611, where part of this work was done.

Attached Files

Published - PhysRevD.102.046008.pdf

Submitted - 2004.13721.pdf

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August 19, 2023
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