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@article{2291224,
author = {Chi, Hanci and Chrysikos, Ioannis and Schneider, Eivind},
article_number = {6},
doi = {http://dx.doi.org/10.1063/5.0142572},
language = {eng},
issn = {0022-2488},
journal = {Journal of Mathematical Physics},
note = {Nevykazovat pro RIV. Chybí afiliace k MU.},
title = {Decomposable (5, 6)-solutions in eleven-dimensional supergravity},
url = {https://doi.org/10.1063/5.0142572},
volume = {64},
year = {2023}
}
TY - JOUR
ID - 2291224
AU - Chi, Hanci - Chrysikos, Ioannis - Schneider, Eivind
PY - 2023
TI - Decomposable (5, 6)-solutions in eleven-dimensional supergravity
JF - Journal of Mathematical Physics
VL - 64
IS - 6
SP - "062301-1"-"062301-24"
EP - "062301-1"-"062301-24"
PB - AIP Publishing
SN - 00222488
N1 - Nevykazovat pro RIV. Chybí afiliace k MU.
UR - https://doi.org/10.1063/5.0142572
N2 - We present decomposable (5, 6)-solutions M˜1,4×M6 in eleven-dimensional supergravity by solving the bosonic supergravity equations for a variety of non-trivial flux forms. Many of the bosonic backgrounds presented here are induced by various types of null flux forms on products of certain totally Ricci-isotropic Lorentzian Walker manifolds and Ricci-flat Riemannian manifolds. These constructions provide an analogy of the work performed by Chrysikos and Galaev [Classical Quantum Gravity 37, 125004 (2020)], who made similar computations for decomposable (6, 5)-solutions. We also present bosonic backgrounds that are products of Lorentzian Einstein manifolds with a negative Einstein constant (in the “mostly plus” convention) and Riemannian Kähler–Einstein manifolds with a positive Einstein constant. This conclusion generalizes a result of Pope and van Nieuwenhuizen [Commun. Math. Phys. 122, 281–292 (1989)] concerning the appearance of six-dimensional Kähler–Einstein manifolds in eleven-dimensional supergravity. In this setting, we construct infinitely many non-symmetric decomposable (5, 6)-supergravity backgrounds by using the infinitely many Lorentzian Einstein–Sasakian structures with a negative Einstein constant on the 5-sphere, known from the work of Boyer et al. [Commun. Math. Phys. 262, 177–208 (2006)].
ER -
CHI, Hanci, Ioannis CHRYSIKOS a Eivind SCHNEIDER. Decomposable (5, 6)-solutions in eleven-dimensional supergravity. \textit{Journal of Mathematical Physics}. AIP Publishing, 2023, roč.~64, č.~6, s.~''062301-1''-''062301-24'', 24 s. ISSN~0022-2488. Dostupné z: https://dx.doi.org/10.1063/5.0142572.
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