https://doi.org/10.1140/epjc/s10052-024-12833-3
Regular Article - Theoretical Physics
Kaluza–Klein tower and bubble nucleation in six dimensional Einstein–Maxwell theory
Department of Physics Education, Korea National University of Education, 28173, Cheongju, Republic of Korea
Received:
10
March
2024
Accepted:
18
April
2024
Published online:
2
May
2024
We study the implication of the distance and the cobordism conjecture on the 6-dimensional Einstein–Maxwell theory compactified on . In this toy model, the radion potential is stabilized by the conspiracy of the curvature of
and the flux through
parametrized by f, and uplifted by the positive 6-dimensional cosmological constant parametrized by
. When
, the radion is stabilized at the anti-de Sitter (AdS) vacuum, which cannot be interpolated to the Minkowski vacuum since the Kaluza–Klein (KK) tower descends from UV in the vanishing limit of the 4-dimensional cosmological constant. For nonzero
which realizes the metastable de Sitter (dS) vacuum, as well as the AdS and the Minkowski vacuum, such an obstruction can be found provided the combination
is fixed and the limit
is taken. Moreover, the 6-dimensional Einstein–Maxwell theory allows the transition between vacua through the nucleation of the bubble. In this case, the values of the 4-dimensional cosmological constant inside and outside the bubble are different as f is changed at the bubble wall, while
remains unchanged. Regarding the AdS vacuum with the vanishing curvature radius as the ‘nothing’, we find that the transition from the metastable dS vacuum to the nothing is not prevented by the descent of the KK tower since
is not fixed.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.