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New de Sitter solutions in ten dimensions and orientifold singularities

Córdova, Clay, De Luca, G. Bruno, Tomasiello, Alessandro·2020·Journal of High Energy Physics
DOI 10.1007/jhep08(2020)093
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Abstract

In previous work, we found ten-dimensional solutions to the supergravity equations of motion with a dS 4 factor and O8-planes. We generalize this analysis and obtain other solutions in the same spirit, with an O8+ and an O6−. We examine our original solutions in more detail, focusing in particular on the O8− singularities and on the issues created by their boundary conditions. We also point out some previously known super- symmetric AdS solutions with the same local behavior at their O8− singularity.

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Figure 1 The function H for O p -planes with p < 7 becomes negative at some value r = r 0 of the radial coordinate. For 3 < p < 7, curvature and string coupling become strong already for larger values of r , in a region schematically shown in red here.
Figure 1 The function H for O p -planes with p < 7 becomes negative at some value r = r 0 of the radial coordinate. For 3 < p < 7, curvature and string coupling become strong already for larger values of r , in a region schematically shown in red here.CC-BY · From the PDF
Figure 2 A numerical dS 4 solution. It starts from an O8 + -plane (on the left) and ends at the boundary of the hole produced by an O6 --plane (on the right). The functions are e 4 W (turquoise), e 4 φ (black), e 2 λ 3 (orange, dashed) and e 2 λ 2 (red, dashed). On the right, the functions behave as in equation (3.33). The numerical constants that produce the solution in this plot are Λ = 2 . 7 × 10 -3 , κ 3 = -2 . 1 × 10 -1 , a 1 = 9 . 02, a 2 = 3 . 5 × 10 2 , q 0 = -2 . 86, N = -275 and n 0 = -4.
Figure 2 A numerical dS 4 solution. It starts from an O8 + -plane (on the left) and ends at the boundary of the hole produced by an O6 --plane (on the right). The functions are e 4 W (turquoise), e 4 φ (black), e 2 λ 3 (orange, dashed) and e 2 λ 2 (red, dashed). On the right, the functions behave as in equation (3.33). The numerical constants that produce the solution in this plot are Λ = 2 . 7 × 10 -3 , κ 3 = -2 . 1 × 10 -1 , a 1 = 9 . 02, a 2 = 3 . 5 × 10 2 , q 0 = -2 . 86, N = -275 and n 0 = -4.CC-BY · From the PDF
Figure 3 A solution with t = -1 4 , σ = -4, F 0 = -4 2 π , and L = 8. The plotted functions are e W (orange), e φ (black) and e λ 1 (turquoise). On the left ( x 0 = -0 . 38) the S 1 shrinks regularly, on the right ( x = 0) a diverging-dilaton O8 sits.
Figure 3 A solution with t = -1 4 , σ = -4, F 0 = -4 2 π , and L = 8. The plotted functions are e W (orange), e φ (black) and e λ 1 (turquoise). On the left ( x 0 = -0 . 38) the S 1 shrinks regularly, on the right ( x = 0) a diverging-dilaton O8 sits.CC-BY · From the PDF

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Metadata

Authors
Córdova, C., De Luca, G. B., & Tomasiello, A.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2020-08
Volume
2020
Issue
8
ISSN
1029-8479
DOI
10.1007/jhep08(2020)093
Cited by
30
References
0
Language
en
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Córdova, C., De Luca, G. B., & Tomasiello, A. (2020). New de Sitter solutions in ten dimensions and orientifold singularities. Journal of High Energy Physics. https://doi.org/10.1007/jhep08(2020)093

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