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Vacua of M-theory and string theory TeX Export

(7 May 1998)

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ads4-s7 ads5-s5 ads7-s4 m-theory string-theory vacua

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We argue that supersymmetric higher-dimension operators in the effective actions of M-theory and IIB string theory do not affect the maximally supersymmetric vacua: $adS_4× S^7$ and $adS_7× S^4$ in M-theory and $adS_5× S^5$ in 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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