Index for Supergravity on AdS_5 \times T^{1,1} and Conifold Gauge Theory

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We compute the index for the conifold gauge theory from type IIB supergravity (superstring) on AdS_5 \times T^{1,1}. We discuss its implication from the gauge theory viewpoint.
20 pages, v2: minor corrections, reference added

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