English

Structures in the Gauge/Gravity Duality Cascade

High Energy Physics - Theory 2010-10-27 v3

Abstract

We study corrections to the anomalous mass dimension and their effects in the Seiberg duality cascade in the Klebanov-Strassler throat, where N=1\mathcal{N}=1 supersymmetric SU(N+M)×SU(N)SU(N+M)\times SU(N) gauge theory with bifundamental chiral superfields and a quartic tree level superpotential in four dimensions is dual to type IIB string theory on AdS5×T1,1AdS_5 \times T^{1,1} background. Analyzing the renormalization group flow of the couplings on the gauge theory side, we propose specific corrections to the anomalous mass dimension. Applying gauge/gravity duality, we then show that the corrections reveal structures on the supergravity side with steps appearing in the running of the fluxes and the metric. The "charges" at the steps provide a gravitational source for Seiberg duality transformations. The finiteness of these corrections suggests that the theory flows to a baryonic branch rather than to a confining branch. The cosmological implication of the duality cascade and the gauge/gravity duality on the brane inflationary scenario and the cosmic microwave background radiation is pointed out.

Keywords

Cite

@article{arxiv.hep-th/0611353,
  title  = {Structures in the Gauge/Gravity Duality Cascade},
  author = {Girma Hailu and S. -H. Henry Tye},
  journal= {arXiv preprint arXiv:hep-th/0611353},
  year   = {2010}
}

Comments

v3: 40 pages, minor changes and typos fixed