On N = 2 compactifications of M-theory to AdS{sub 3} using geometric algebra techniques

Journal Article · Wed Nov 13 00:00:00 EST 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4832797· OSTI ID:22280647

Babalic, E. M.; Coman, I. A.; Condeescu, C.; Micu, A. ^[1]; Lazaroiu, C. I. ^[2]

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1. IFIN-HH, Department of Theoretical Physics, 077125 Magurele (Romania)
2. IFIN-HH, Department of Theoretical Physics, 077125 Magurele, Romania and IBS, Center for Geometry and Physics, and POSTECH, Department of Mathematics, Pohang, Gyeongbuk 790-784 (Korea, Republic of)

We investigate the most general warped compactification of eleven-dimensional supergravity on eight-dimensional manifolds to AdS{sub 3} 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.

• OSTI ID: 22280647
• Journal Information: AIP Conference Proceedings, Vol. 1564, Issue 1; Conference: TIM 2012 physics conference, Timisoara (Romania), 27-30 Nov 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANTI DE SITTER SPACE
CHIRALITY
COMPACTIFICATION
COSMOLOGY
GEOMETRY
LIMITING VALUES
MANY-DIMENSIONAL CALCULATIONS
M-THEORY
SUPERGRAVITY
SUPERSYMMETRY
VECTOR FIELDS