Superconformal index of N=3 orientifold theories

Abstract

We analyze the superconformal index of the N=3 supersymmetric Z_k generalized orientifold theories recently proposed. In the large N limit we derive the index from the Kaluza-Klein modes in AdS_5 x S^5/Z_k, which are obtained from ones in AdS_5 x S^5 by a simple projection. For the ordinary Z_2 orientifold case the agreement with the gauge theory calculation is explicitly confirmed, and for Z_k with k > 2 we perform a few consistency checks with known results for N=3 theories. We also study finite N corrections by analyzing wrapped D3-branes and discrete torsions in the dual geometry.

20 pages, v2: minor improvements, a reference added, v3: minor revisions, published version

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• An N=1 Lagrangian for an N=3 SCFT
• BPS operators in $\mathcal{N}=4$ $SO(N)$ super Yang-Mills theory: plethysms, dominoes and words
• BPS Partition Functions for S-folds
• Higher derivative invariants in four dimensional N=3 Poincare supergravity
• Macdonald Indices for Four-dimensional $\mathcal{N}=3$ Theories
• Exceptional moduli spaces for exceptional $\mathcal{N}=3$ theories
• A note on 4d N = 3 from little string theory
• Four-dimensional $N=1$ theories, S-fold constraints on T-branes, and behaviors in IR and UV
• $S^1$ Reduction of 4D $\mathcal{N}=3$ SCFTs and Squashing Independence of ABJM Theories
• Holographic spectral functions for Sasaki-Einstein 5-manifolds