Abstract
We revisit the stringy construction of four-dimensional de-Sitter solutions using orientifolds O8±, proposed by Córdova et al. (2019) [1]. While the original analysis of the supergravity equations is largely numerical, we obtain semi-analytic solutions by treating the curvature as a perturbative parameter. At each order we verify that the (permissive) boundary conditions at the orientifolds are satisfied. To illustrate the advantage of our result, we calculate the four-dimensional Newton constant as a function of the cosmological constant. We also discuss how the discontinuities at O8− can be accounted for in terms of corrections to the worldvolume action.
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References
C. Córdova, G.B. De Luca and A. Tomasiello, Classical de Sitter Solutions of 10-Dimensional Supergravity, Phys. Rev. Lett. 122 (2019) 091601 [arXiv:1812.04147] [INSPIRE].
G.W. Gibbons, Aspects of supergravity theories, in Supersymmetry, Supergravity and Related Topics, F. del Aguila, J.A. de Azc´arraga and L.E. Ibáñez, World Scientific (1985) [INSPIRE].
B. de Wit, D.J. Smit and N.D. Hari Dass, Residual Supersymmetry of Compactified D = 10 Supergravity, Nucl. Phys. B 283 (1987) 165 [INSPIRE].
J.M. Maldacena and C. Núñez, Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A 16 (2001) 822 [hep-th/0007018] [INSPIRE].
G. Obied, H. Ooguri, L. Spodyneiko and C. Vafa, de Sitter Space and the Swampland, arXiv:1806.08362 [INSPIRE].
U.H. Danielsson and T. Van Riet, What if string theory has no de Sitter vacua?, Int. J. Mod. Phys. D 27 (2018) 1830007 [arXiv:1804.01120] [INSPIRE].
D. Andriot, Open problems on classical de Sitter solutions, Fortsch. Phys. 67 (2019) 1900026 [arXiv:1902.10093] [INSPIRE].
N. Cribiori and D. Junghans, No classical (anti-)de Sitter solutions with O8-planes, Phys. Lett. B 793 (2019) 54 [arXiv:1902.08209] [INSPIRE].
C. Córdova, G.B. De Luca and A. Tomasiello, New de Sitter Solutions in Ten Dimensions and Orientifold Singularities, JHEP 08 (2020) 093 [arXiv:1911.04498] [INSPIRE].
F. Apruzzi, M. Fazzi, D. Rosa and A. Tomasiello, All AdS7 solutions of type-II supergravity, JHEP 04 (2014) 064 [arXiv:1309.2949] [INSPIRE].
F. Apruzzi and M. Fazzi, AdS7 /CFT6 with orientifolds, JHEP 01 (2018) 124 [arXiv:1712.03235] [INSPIRE].
N. Kim, Solving Mass-deformed Holography Perturbatively, JHEP 04 (2019) 053 [arXiv:1902.00418] [INSPIRE].
N. Kim and S.-J. Kim, Perturbative solutions of \( \mathcal{N} \) = 1∗ holography on S4 , JHEP 07 (2019) 169 [arXiv:1904.02038] [INSPIRE].
N. Kim and S.-J. Kim, A perturbative study of holographic mABJM theory, Phys. Lett. B 797 (2019) 134837 [arXiv:1904.09465] [INSPIRE].
N. Kim and S.-J. Kim, Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction, Chin. Phys. C 44 (2020) 7 [arXiv:2001.06789] [INSPIRE].
S.K. Garg and C. Krishnan, Bounds on Slow Roll and the de Sitter Swampland, JHEP 11 (2019) 075 [arXiv:1807.05193] [INSPIRE].
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Kim, N. Towards an explicit construction of de Sitter solutions in classical supergravity. J. High Energ. Phys. 2020, 57 (2020). https://doi.org/10.1007/JHEP10(2020)057
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DOI: https://doi.org/10.1007/JHEP10(2020)057