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arXiv · hep-th/0505164

The D3/D7 Background and Flavor Dependence of Regge Trajectories

Ingo Kirsch·Diana Vaman
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Abstract

In the context of AdS/CFT with flavor, we consider the type IIB supergravity solution corresponding to a fully localized D3/D7 intersection. We complete the standard metric ansatz by providing an analytic expression for the warp factor, under the assumption of a logarithmically running axion-dilaton. From the gauge dual perspective, this behavior is related to the positive beta function of the N=4, d=4 SU(N_c) super Yang-Mills gauge theory, coupled to N_f fundamental N=2 hypermultiplets. We comment on the existence of tadpoles and relate them to the same gauge theory beta function. Next we consider a classical spinning string configuration in the decoupling limit of the D3/D7 geometry and extract the flavor (N_f) dependence of the associated meson Regge trajectory. Including the backreaction of the D7-branes in the supergravity dual allows for going beyond the quenched approximation on the dual gauge theory side.

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Ingo Kirsch, Diana Vaman. 2005-05-18. The D3/D7 Background and Flavor Dependence of Regge Trajectories. https://doi.org/10.1103/physrevd.72.026007

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