Consistent truncations and $G_2$-invariant $AdS_4$ solutions of $D=11$ supergravity

Bastien Duboeuf; Michele Galli; Emanuel Malek; Henning Samtleben

doi:10.1103/PhysRevD.111.066007

Consistent truncations and $G_2$-invariant $AdS_4$ solutions of $D=11$ supergravity

Bastien Duboeuf, Michele Galli, Emanuel Malek, Henning Samtleben

Research output: Contribution to journal › Article › peer-review

Abstract

Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G2-invariant solutions of 𝐷 =11 supergravity. Their geometry is of the form AdS4×Σ7 where Σ7 is a deformed seven-sphere, preserving SO(7) isometries.

Original language	English
Article number	066007
Pages (from-to)	1-22
Number of pages	22
Journal	Phys. Rev. D
Volume	111
Issue number	6
Early online date	5 Mar 2025
DOIs	https://doi.org/10.1103/PhysRevD.111.066007
Publication status	Published - 15 Mar 2025

Access to Document

10.1103/PhysRevD.111.066007Licence: CC BY

Final_Version
© 2025 The Author(s). Published by the American Physical Society. This is an open access article distributed under the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/
Final published version, 772 KBLicence: CC BY

Cite this

@article{4d60ff5387b34e5d8d8b462dba7110a3,

title = "Consistent truncations and $G_2$-invariant $AdS_4$ solutions of $D=11$ supergravity",

abstract = "Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G2-invariant solutions of 𝐷 =11 supergravity. Their geometry is of the form AdS4×Σ7 where Σ7 is a deformed seven-sphere, preserving SO(7) isometries.",

author = "Bastien Duboeuf and Michele Galli and Emanuel Malek and Henning Samtleben",

note = "{\textcopyright} 2025 The Author(s). Published by the American Physical Society. This is an open access article distributed under the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/",

year = "2025",

month = mar,

day = "15",

doi = "10.1103/PhysRevD.111.066007",

language = "English",

volume = "111",

pages = "1--22",

journal = "Phys. Rev. D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Consistent truncations and $G_2$-invariant $AdS_4$ solutions of $D=11$ supergravity

AU - Duboeuf, Bastien

AU - Galli, Michele

AU - Malek, Emanuel

AU - Samtleben, Henning

N1 - © 2025 The Author(s). Published by the American Physical Society. This is an open access article distributed under the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/

PY - 2025/3/15

Y1 - 2025/3/15

N2 - Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G2-invariant solutions of 𝐷 =11 supergravity. Their geometry is of the form AdS4×Σ7 where Σ7 is a deformed seven-sphere, preserving SO(7) isometries.

AB - Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group leads to consistent truncations with less or no supersymmetry. We review the relation between these truncations in the framework of exceptional field theory. As an application, we derive three new G2-invariant solutions of 𝐷 =11 supergravity. Their geometry is of the form AdS4×Σ7 where Σ7 is a deformed seven-sphere, preserving SO(7) isometries.

U2 - 10.1103/PhysRevD.111.066007

DO - 10.1103/PhysRevD.111.066007

M3 - Article

SN - 2470-0010

VL - 111

SP - 1

EP - 22

JO - Phys. Rev. D

JF - Phys. Rev. D

IS - 6

M1 - 066007

ER -

Consistent truncations and $G_2$-invariant $AdS_4$ solutions of $D=11$ supergravity

Abstract

Access to Document

Fingerprint

Cite this