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Published January 10, 2019 | Published + Submitted
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Distance and de Sitter Conjectures on the Swampland

Ooguri, Hirosi ORCID icon
Palti, Eran
Shiu, Gary
Vafa, Cumrun
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Abstract

Among Swampland conditions, the distance conjecture characterizes the geometry of scalar fields and the de Sitter conjecture constrains allowed potentials on it. We point out a connection between the distance conjecture and a refined version of the de Sitter conjecture in any parametrically controlled regime of string theory by using Bousso's covariant entropy bound. The refined version turns out to evade all counter-examples at scalar potential maxima that have been raised. We comment on the relation of our result to the Dine–Seiberg problem.

Additional Information

© 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3. Received 29 October 2018, Accepted 13 November 2018, Available online 15 November 2018. We would like to thank Prateek Agrawal, Tom Banks, Raphael Bousso, Clifford Cheung, Daniel Chung, Joe Conlon, Albion Lawrence, Toshifumi Noumi, Georges Obied, Misao Sasaki, and Pablo Soler for discussions. The work of GS is supported in part by the DOE grant DE-SC0017647 and the Kellett Award of the University of Wisconsin. The work of CV is supported in part by NSF grant PHY-1067976. The work of HO is supported in part by U.S. Department of Energy grant 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. HO also thanks the hospitality of the Aspen Center for Physics, which is supported by the National Science Foundation grant PHY-1607611. We would like to thank the hospitality of Simons Center for Geometry and Physics, where this work was initiated during the 2018 Simons Summer workshop.

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Submitted - 1810.05506.pdf

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