CrossRef Open Access 2022 3 sitasi

Supersymmetric dS <sub> n </sub> solutions for n ⩾ 5in D = 11 supergravity

D Farotti J B Gutowski

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Abstrak

Abstract We determine the necessary and sufficient conditions for warped product dS n solutions, 5 ⩽ n ⩽ 10, to preserve supersymmetry in D = 11 supergravity, without assuming factorization of the Killing spinors. We prove that for 7 ⩽ n ⩽ 10, all such solutions are flat, with vanishing four-form. We also show that the only warped product dS 6 solutions are either the maximally supersymmetric AdS 7 × S 4 solution, or R 1 , 6 × N 4 where N 4 is hyperKähler, with vanishing four-form. Supersymmetric warped product dS 5 solutions are then classified; it is shown that all such solutions are generalized M5-brane configurations, for which the transverse space is R × N 4 , and N 4 is a hyperKähler manifold. If the four-form is covariantly constant, then N 4 admits a hyperKähler potential.

Penulis (2)

D Farotti

J B Gutowski

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APA MLA BibTeX

Farotti, D., Gutowski, J.B. (2022). Supersymmetric dS <sub> n </sub> solutions for n ⩾ 5in D = 11 supergravity. https://doi.org/10.1088/1751-8121/ac8208

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Lihat di Sumber doi.org/10.1088/1751-8121/ac8208

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Total Sitasi: 3×
Sumber Database: CrossRef
DOI: 10.1088/1751-8121/ac8208
Akses: Open Access ✓