Renormalization Group Flows on D3 branes at an Orbifolded Conifold

Details Renormalization Group Flows on D3 branes at an Orbifolded Conifold Renormalization Group Flows on D3 branes at an Orbifolded Conifold

2000-03-21

arxiv.org/abs/hep-th/0003183v3

JHEP 0005 (2000) 030

Physics

High Energy Physics

High Energy Physics - Theory

Latex 22 pages with 3 eps files

Scientific paper

10.1088/1126-6708/2000/05/030

We consider D3-branes at an orbifolded conifold whose horizon ${X_5}$ resolves into a smooth Einstein manifold which joins several copies of ${\bf T}^{1,1}$. We describe in details the resolution of the singular horizon ${X_5}$ and describe different types of two-cycles appearing in the resolution. For a large number of D3 branes, the AdS/CFT conjecture becomes a duality between type IIB string theory on $AdS_5 \times {X_5} $ and the ${\cal N} = 1$ field theory living on the D3 branes. We study the fractional branes as small perturbations of the string background and we reproduce the logarithmic flow of field theory couplings by studying fluxes of NS-NS and R-R two forms through different 2-cycles of the resolved horizon.

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