Conifold holography

We examine the extension of the Klebanov-Witten gauge/gravity correspondenceaway from the low-energy conformal limit, to a duality involving the full,asymptotically Ricci-flat background describing three-branes on the conifold.After a discussion of the nature of this duality at the string theory level(prior to taking any limits), we concentrate on the intermediate-energy regimewhere excited string modes are negligible but the branes are still coupled tothe bulk. Building upon previous work, we are able to characterize theeffective D3-brane worldvolume action in this regime as an IR deformation ofthe Klebanov-Witten N=1 superconformal gauge theory by a specificdimension-eight operator. In addition, we compute the two-point functions ofthe operators dual to all partial waves of the dilaton on theconifold-three-brane background, and subject them to various checks.Comment: LaTeX 2e, 32 page