The Gauge/Gravity Theory of Blown up Four Cycles

Details The Gauge/Gravity Theory of Blown up Four Cycles The Gauge/Gravity Theory of Blown up Four Cycles

2005-12-06

arxiv.org/abs/hep-th/0512061v1

Physics

High Energy Physics

High Energy Physics - Theory

22+14 pages, 7 figures

Scientific paper

We present an explicit supersymmetric deformation of supergravity backgrounds describing D3-branes on Calabi-Yau cones. From the geometrical point of view, it corresponds to blowing up a 4-cycle in the Calabi-Yau and can be done universally. In the field theory, we identify this deformation with motion on non-mesonic directions in the full moduli space of vacua. For the case of a Z_2 orbifold of the conifold, we discuss an explicit gravity solution with two deformation parameters: one corresponding to blowing up a 2-cycle and one corresponding to blowing up a 4-cycle. The generic case where the Calabi-Yau is toric is also discussed in detail. Quite generally, the order parameter of these 4-cycle deformations is a dimension six operator. We also consider probe strings which show linear confinement and probe D7 branes which help in understanding the behavior far in the infrared.

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