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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 &quot;mostly plus&quot; 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

  • Czech description

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