N=1 Chern-Simons theories, orientifolds and Spin(7) cones

Abstract

We construct three dimensional N=1 Chern-Simons theories living on M2 branes probing Spin(7) cones. We consider Spin(7) manifolds obtained as quotients of Calabi-Yau four-folds by an anti-holomorphic involution, following a construction by Joyce. The corresponding Chern-Simons theories can be obtained from N=2 theories by an orientifolding procedure. These theories are holographically dual to M theory solutions AdS_4 \times H, where the weak G_2 manifold H is the base of the Spin(7) cone.

26 pages, 3 figures, reference added.

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Cited by in corpus (11)

• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Refined Checks and Exact Dualities in Three Dimensions
• Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• F-Theory on Spin(7) Manifolds: Weak-Coupling Limit
• 2d $\mathcal{N}=(0,1)$ Gauge Theories and Spin(7) Orientifolds
• Spin(7) duality for N=1 CS-matter theories
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Inverse algorithm and M2-brane theories
• Aspects of ABJM orbifolds with discrete torsion