N=1 Chern-Simons theories, orientifolds and Spin(7) cones
Davide Forcella, Alberto Zaffaroni
TL;DR
This paper constructs three-dimensional N=1 Chern-Simons theories on M2 branes probing Spin(7) cones, derived from N=2 theories via orientifolding, and explores their holographic duals in M theory.
Contribution
It introduces a method to obtain N=1 Chern-Simons theories from N=2 theories through orientifolding on Spin(7) cones derived from Calabi-Yau four-folds.
Findings
Construction of N=1 Chern-Simons theories on Spin(7) cones.
Identification of holographic duals involving G_2 and Spin(7) manifolds.
Extension of Joyce's quotient construction to gauge theories.
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.
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