Superconformal index of ${ \mathcal N }=3$ orientifold theories

Abstract

We analyze the superconformal index of the N=3 supersymmetric Z_k generalized\norientifold theories recently proposed. In the large N limit we derive the\nindex from the Kaluza-Klein modes in AdS_5 x S^5/Z_k, which are obtained from\nones in AdS_5 x S^5 by a simple projection. For the ordinary Z_2 orientifold\ncase the agreement with the gauge theory calculation is explicitly confirmed,\nand for Z_k with k > 2 we perform a few consistency checks with known results\nfor N=3 theories. We also study finite N corrections by analyzing wrapped\nD3-branes and discrete torsions in the dual geometry.\n