{"title":"Consistent truncations and G2 -invariant AdS4 solutions of D=11 supergravity","authors":"Bastien Duboeuf, Michele Galli, Emanuel Malek, Henning Samtleben","doi":"10.1103/physrevd.111.066007","DOIUrl":null,"url":null,"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 G</a:mi></a:mrow>2</a:mn></a:mrow></a:msub></a:mrow></a:math>-invariant solutions of <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mi>D</d:mi><d:mo>=</d:mo><d:mn>11</d:mn></d:math> supergravity. Their geometry is of the form <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mrow><f:msub><f:mrow><f:mi>AdS</f:mi></f:mrow><f:mrow><f:mn>4</f:mn></f:mrow></f:msub><f:mo>×</f:mo><f:msub><f:mi mathvariant=\"normal\">Σ</f:mi><f:mn>7</f:mn></f:msub></f:mrow></f:math> where <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msub><i:mi mathvariant=\"normal\">Σ</i:mi><i:mn>7</i:mn></i:msub></i:math> is a deformed seven-sphere, preserving SO(7) isometries. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"30 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.066007","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
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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. Published by the American Physical Society2025
期刊介绍：
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.
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