Brane-jet stability of non-supersymmetric AdS vacua
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Springer
Received: June 24, 2020 Accepted: August 13, 2020 Published: September 17, 2020
Brane-jet stability of non-supersymmetric AdS vacua
a
Departamento de F´ısica, Universidad de Oviedo, Avda. Federico Garc´ıa Lorca 18, 33007 Oviedo, Spain b Instituto Universitario de Ciencias y Tecnolog´ıas Espaciales de Asturias (ICTEA), Calle de la Independencia 13, 33004 Oviedo, Spain c Department of Physics and Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Finland d Department of Physics, Utah State University, Logan, UT 84322, U.S.A. e Departamento de F´ısica Te´ orica and Instituto de F´ısica Te´ orica UAM/CSIC, Universidad Aut´ onoma de Madrid, Cantoblanco, 28049 Madrid, Spain
E-mail: [email protected], [email protected], [email protected] Abstract: We classify the non-supersymmetric, and perturbatively stable within D = 4, AdS vacua of maximal D = 4 supergravity with a dyonic ISO(7) gauging in a large sector of the supergravity. Seven such vacua are established within this sector, all of them giving rise to non-supersymmetric AdS4 × S6 type IIA backgrounds with and without non-trivial warpings and with internal fluxes. Then, we analyse the dynamics of various probe Dpbranes in these backgrounds searching for potential brane-jet instabilities. In all these cases, such instabilities are absent. Finally, an alternative decay channel through tunnelling is investigated, focusing on one of the seven backgrounds. We do not find instabilities either, but the analysis remains inconclusive. Keywords: Flux compactifications, p-branes, Supergravity Models, Superstring Vacua ArXiv ePrint: 2005.07072
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP09(2020)110
JHEP09(2020)110
Adolfo Guarino,a,b Javier Tarr´ıoc and Oscar Varelad,e
Contents 1
2 D2-brane-jet stability 2.1 Spacetime-filling D2-brane probes on AdS4 × S6 2.2 Solutions with G2 symmetry 2.3 Solutions with at least SU(3) symmetry 2.4 Solutions with an explicit factor of SO(3)R
5 5 7 7 8
3 Dp-brane-jet stability of the G2 -invariant vacua 3.1 D4-brane wrapping internal two-cycles 3.2 D6-brane wrapping internal four-cycles 3.3 D8-brane wrapping S6
9 10 12 13
4 (Meta)stability and decay through domain-walls 4.1 SU(3) invariant sector: bosonic action 4.2 Numerical analysis
14 15 15
5 Discussion
19
A All known vacua of D = 4 N = 8 ISO(7) supergravity
21
B Ten-dimensional background geometries B.1 Uplifting formulae B.2 Solutions with G2 symmetry B.3 Solutions with at least SU(3) symmetry B.4 Solutions with an explicit factor of SO(3)R
27 27 30 30 31
C G2 -invariant backgrounds: internal fluxes and WZ terms
32
D Geometric structures on S5 and S6
34
1
Motivation
The issue of the non-perturbative (in)stability of non-supersymmetric vacua in string/Mtheory has gained a renewed interest in light of the weak gravity and swampland conjectures [1, 2]. Focusing, for definiteness, in the class of anti-de Sitter (AdS) vacua that uplift from maximal supergravities in lo
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