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Published July 15, 2017 | Published + Submitted
Journal Article Open

New Kaluza-Klein Instantons and Decay of AdS Vacua

Abstract

We construct a generalization of Witten's Kaluza-Klein instanton, where a higher-dimensional sphere (rather than a circle as in Witten's instanton) collapses to zero size and the geometry terminates at a bubble of nothing, in a low energy effective theory of M theory. We use the solution to exhibit the instability of nonsupersymmetric AdS_5 vacua in M theory compactified on positive Kähler-Einstein spaces, providing further evidence for the recent conjecture that any nonsupersymmetric anti–de Sitter vacuum supported by fluxes must be unstable.

Additional Information

© 2017 American Physical Society. Received 17 April 2017; published 19 July 2017. The authors would like to thank G. Horowitz, S. Gukov, I. Klebanov, and H. Reall for discussions. This research is supported in part by the U.S. Department of Energy Grant No. DE-SC0011632. H. O. is also supported in part by the Simons Investigator Award, by the World Premier International Research Center Initiative, Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan, by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research No. C-26400240, and by the JSPS Grant-in-Aid for Scientific Research on Innovative Areas No. 15H05895.

Attached Files

Published - PhysRevD.96.026016.pdf

Submitted - 1703.03105.pdf

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Created:
August 19, 2023
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