Structures in the Gauge/Gravity Duality Cascade

TL;DR

This paper investigates how corrections to the anomalous mass dimension influence the Seiberg duality cascade in the Klebanov-Strassler background, revealing new structures in the supergravity dual and implications for cosmology.

Contribution

It introduces specific corrections to the anomalous mass dimension and demonstrates their effects on the supergravity dual, connecting gauge theory RG flow with geometric structures.

Findings

Steps in fluxes and metric due to corrections

Charges at steps act as sources for Seiberg duality

Theory likely flows to a baryonic branch

Abstract

We study corrections to the anomalous mass dimension and their effects in the Seiberg duality cascade in the Klebanov-Strassler throat, where $\mathcal{N}=1$ supersymmetric $SU(N+M)\times SU(N)$ gauge theory with bifundamental chiral superfields and a quartic tree level superpotential in four dimensions is dual to type IIB string theory on $AdS_5 \times T^{1,1}$ 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.