Decomposable (5, 6)-solutions in eleven-dimensional
supergravity

J 2023

Decomposable (5, 6)-solutions in eleven-dimensional supergravity

CHI, Hanci; Ioannis CHRYSIKOS a Eivind SCHNEIDER

Základní údaje

Originální název

Decomposable (5, 6)-solutions in eleven-dimensional supergravity

Autoři

CHI, Hanci; Ioannis CHRYSIKOS a Eivind SCHNEIDER

Vydání

Journal of Mathematical Physics, AIP Publishing, 2023, 0022-2488

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.200

Označené pro přenos do RIV

DOI

https://doi.org/10.1063/5.0142572

Štítky

RIV ne

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 13. 6. 2023 16:09, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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)].

Citovat

CHI, Hanci; Ioannis CHRYSIKOS a Eivind SCHNEIDER. Decomposable (5, 6)-solutions in eleven-dimensional supergravity. Journal of Mathematical Physics. AIP Publishing, 2023, roč. 64, č. 6, s. "062301-1"-"062301-24", 24 s. ISSN 0022-2488. Dostupné z: https://doi.org/10.1063/5.0142572.

@article{2291224,
   author = {Chi, Hanci and Chrysikos, Ioannis and Schneider, Eivind},
   article_number = {6},
   doi = {https://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://doi.org/10.1063/5.0142572.

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