A Relation Between N=8 Gauge Theories in Three Dimensions

Abstract

We show that three-dimensional N=8 $Sp(N)$ and $SO(2N+1)$ gauge theories flow to the same strong coupling fixed point. As a consequence, the corresponding orientifold two-planes in type IIA string theory are described at strong coupling and low-energies by the same M theory background. In the large $N$ limit, these assertions are confirmed by studying discrete torsion in the supergravity theory corresponding to membranes on $R^8/Z_2$.

8 pages, harvmac; an acknowledgement added

Cited by in corpus (30)

• Large N Field Theories, String Theory and Gravity
• CFT's From Calabi-Yau Four-folds
• Quantum critical transport, duality, and M-theory
• Membranes on an Orbifold
• N=3 four dimensional field theories
• Heterotic Strings with Torsion
• On Orientifolds, Discrete Torsion, Branes and M Theory
• Orientifolds of Gepner Models
• M2-branes on M-folds
• D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
• Anomalous radius shift in AdS(4)/CFT(3)
• M-theory and Type IIA Flux Compactifications
• Multiple Membranes in M-theory
• New and old N=8 superconformal field theories in three dimensions
• Comments on Non-Supersymmetric Orientifolds at Strong Coupling
• Strings on Orbifold Lines
• New N=1 dualities from orientifold transitions - Part II: String Theory
• The fate of the type I non-BPS D7-brane
• ABCD of 3d $\mathcal{N}=8$ and 4 Superconformal Field Theories
• New IR Dualities in Supersymmetric Gauge Theory in Three Dimensions
• Anomaly inflow and $p$-form gauge theories
• Dualities and flavored indices of M2-brane SCFTs
• Gravity dual of dynamically broken supersymmetry
• N=8 SCFT and M Theory on AdS_4 x RP^7
• Freezing of Moduli with Fluxes in Three Dimensions
• Novel Type I Compactifications
• Harmonic Analysis and Superconformal Gauge Theories in Three Dimensions from AdS/CFT Correspondence
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• Branes and 2d N=(2,2) gauge theories with orthogonal and symplectic groups
• The Exchange of Orientifold Two-Planes in M-theory