Warped Resolved L^{a,b,c} Cones
High Energy Physics - Theory
2008-11-26 v2
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.
Cite
@article{arxiv.0705.3847,
title = {Warped Resolved L^{a,b,c} Cones},
author = {Mirjam Cvetic and Justin F. Vazquez-Poritz},
journal= {arXiv preprint arXiv:0705.3847},
year = {2008}
}