Abstract
We construct three dimensional \( \mathcal{N} = 1 \) 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 \( \mathcal{N} = 2 \) theories by an orientifolding procedure. These theories are holographically dual to M theory solutions AdS 4 × H, where the weak G 2 manifold H is the base of the Spin(7) cone.
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ArXiv ePrint: 0911.2595
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Forcella, D., Zaffaroni, A. \( \mathcal{N} = 1 \) Chern-Simons theories, orientifolds and Spin(7) cones. J. High Energ. Phys. 2010, 45 (2010). https://doi.org/10.1007/JHEP05(2010)045
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DOI: https://doi.org/10.1007/JHEP05(2010)045