Decomposable (5,6)-solutions in eleven-dimensional supergravity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F23%3A50020639" target="_blank" >RIV/62690094:18470/23:50020639 - isvavai.cz</a>
Result on the web
<a href="https://pubs.aip.org/aip/jmp/article-abstract/64/6/062301/2895253/Decomposable-5-6-solutions-in-eleven-dimensional?redirectedFrom=fulltext" target="_blank" >https://pubs.aip.org/aip/jmp/article-abstract/64/6/062301/2895253/Decomposable-5-6-solutions-in-eleven-dimensional?redirectedFrom=fulltext</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0142572" target="_blank" >10.1063/5.0142572</a>
Alternative languages
Result language
angličtina
Original language name
Decomposable (5,6)-solutions in eleven-dimensional supergravity
Original language description
We present decomposable (5, 6)-solutions (M) over tilde (1,4) xM(6) 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 Kahler-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 Kahler-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)].
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GJ19-14466Y" target="_blank" >GJ19-14466Y: Special metrics in supergravity and new G-structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of mathematical physics
ISSN
0022-2488
e-ISSN
1089-7658
Volume of the periodical
64
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
"Article Number: 062301"
UT code for WoS article
001004432400001
EID of the result in the Scopus database
2-s2.0-85161826475