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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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)].

Název v anglickém jazyce

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

Popis výsledku anglicky

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)].

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GJ19-14466Y" target="_blank" >GJ19-14466Y: Speciální metriky v supergravitaci a nové G-struktury</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of mathematical physics

ISSN

0022-2488

e-ISSN

1089-7658

Svazek periodika

64

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

24

Strana od-do

"Article Number: 062301"

Kód UT WoS článku

001004432400001

EID výsledku v databázi Scopus

2-s2.0-85161826475