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arXiv · 0705.3847

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

Mirjam Cvetic·Justin F. Vazquez-Poritz
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Abstract

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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Mirjam Cvetic, Justin F. Vazquez-Poritz. 2008-02-05. Warped Resolved L^{a,b,c} Cones. https://doi.org/10.1103/physrevd.77.126003

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