de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
- PDF / 2,730,752 Bytes
- 45 Pages / 595.276 x 841.89 pts (A4) Page_size
- 4 Downloads / 167 Views
Springer
Received: August 17, 2020 Accepted: September 1, 2020 Published: October 16, 2020
Ivano Basilea and Stefano Lanzab a
Scuola Normale Superiore and I.N.F.N., Piazza dei Cavalieri 7, 56126, Pisa, Italy b Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, U.S.A.
E-mail: [email protected], [email protected] Abstract: We study de Sitter configurations in ten-dimensional string models where supersymmetry is either absent or broken at the string scale. To this end, we derive expressions for the cosmological constant in general warped flux compactifications with localized sources, which yield no-go theorems that extend previous works on supersymmetric cases. We frame our results within a dimensional reduction and connect them to a number of Swampland conjectures, corroborating them further in the absence of supersymmetry. Furthermore, we construct a top-down string embedding of de Sitter brane-world cosmologies within unstable anti-de Sitter landscapes, providing a concrete realization of a recently revisited proposal. Keywords: Flux compactifications, Supersymmetry Breaking, Effective Field Theories, D-branes ArXiv ePrint: 2007.13757
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP10(2020)108
JHEP10(2020)108
de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
Contents 1
2 Non-supersymmetric string models 2.1 The orientifold models 2.2 The heterotic model 2.3 The low-energy description
2 2 4 5
3 Freund-Rubin compactifications 3.1 AdS solutions 3.2 The obstructions to de Sitter and Minkowski solutions
6 7 8
4 A no-go theorem for dS and Minkowski solutions 4.1 Including space-time filling sources
8 10
5 Vacua of the lower-dimensional theory and perturbative instabilities 5.1 The BSB and type 00 B orientifold models 5.2 The SO(16) × SO(16) heterotic model 5.3 dS vacua and instabilities
12 13 14 14
6 Swampland conjectures and non-supersymmetric string theories 6.1 The de Sitter conjecture and the Transplanckian Censorship conjecture 6.2 The de Sitter conjecture and the Weak Gravity conjecture for membranes 6.3 The distance conjecture and the tower of states
15 17 21 24
7 de Sitter on the brane-world 7.1 The bulk setup 7.2 Generating bubbles 7.3 The effective theory on the brane-world 7.4 Massive particles 7.5 de Sitter foliations from nothing
25 25 26 27 29 30
8 Conclusions
30
A Proof of the no-go theorem A.1 The dilaton potential as a D-dimensional source
32 34
B The radion-dilaton potential in the reduced theory
35
–i–
JHEP10(2020)108
1 Introduction
1
Introduction
1
See [16, 17] for reviews.
–1–
JHEP10(2020)108
Despite the numerous successes of string theory, its connection to realistic phenomenology remains a remarkably subtle challenge. The theory appears to contain all the ingredients necessary to concoct standard-like models with the inclusion of dark energy, but upon supersymmetry breaking most of the computational power is typically lost due to uncontrolled back-reactions. As a result
Data Loading...
