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Vacua of M theory and string theory

1998/05/07 by Рената Каллош, R. Kallosh, Arvind Rajaraman +1 · 97 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #M-theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #String (physics) #String theory #Supergravity #Superspace #Supersymmetry #Theoretical physics #Type (biology) #hep-th

paper · pdf · doi:10.1103/physrevd.58.125003

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 58(12) (American Physical Society) · 16 pages, latex

arxiv created 1998/05/07 · openalex publication_date 1998/11/09 · arxiv updated 2016/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We argue that supersymmetric higher-dimension operators in the effective actions of M theory and type IIB string theory do not affect the maximally supersymmetric vacua: AdS4\ifmmode×\else\texttimes\fiS7 and AdS7\ifmmode×\else\texttimes\fiS4 in M theory and AdS5\ifmmode×\else\texttimes\fiS5 in type IIB string theory. All these vacua are described in superspace by a fixed point with all components of supertorsion and supercurvature being supercovariantly constant. This follows from 32 unbroken supersymmetries and allows us to prove that such vacua are exact.

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