Warped Resolved L^{a,b,c} Cones

Details Warped Resolved L^{a,b,c} Cones Warped Resolved L^{a,b,c} Cones

2007-05-28

arxiv.org/abs/0705.3847v2

Phys.Rev.D77:126003,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 4 figures, additional references

Scientific paper

10.1103/PhysRevD.77.126003

We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved L^{a,b,c} cone. The geometry flows from AdS_5 x L^{a,b,c} to AdS_5 x S^5/Z_k. The corresponding quiver gauge theory undergoes an RG flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various L^{a,b,c} fixed points. The general system is described by a triplet of Heun equations which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators which acquire non-zero vacuum expectation values as the quiver gauge theory flows away from a fixed point.

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