On N = 2 compactifications of M-theory to AdS3 using geometric algebra techniques

We investigate the most general warped compactification of eleven-dimensional supergravity on eight-dimensional manifolds to AdS3 spaces (in the presence of non-vanishing four-form flux) which preserves N = 2 supersymmetry in three dimensions. Without imposing any restrictions on the chirality of th...

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Bibliographic Details
Main Authors: Babalic, E M, Coman, I A, Condeescu, C, Lazaroiu, C I, Micu, A
Format: Conference Proceeding
Language:English
Subjects:
Chirality
Fields (mathematics)
M theory
Manifolds (mathematics)
Supergravity
Supersymmetry
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Summary:We investigate the most general warped compactification of eleven-dimensional supergravity on eight-dimensional manifolds to AdS3 spaces (in the presence of non-vanishing four-form flux) which preserves N = 2 supersymmetry in three dimensions. Without imposing any restrictions on the chirality of the internal part of the supersymmetry generators, we use geometric algebra techniques to study some implications of the supersymmetry constraints. In particular, we discuss the Lie bracket of certain vector fields constructed as pinor bilinears on the compactification manifold.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4832797