2007/05/31 by Mirjam Cvetič, Mirjam Cvetic, Justin F. Vazquez-Poritz +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.77.126003
published as Phys.Rev.D77:126003,2008 · 28 pages, 4 figures, additional references
arxiv created 2008/02/05 · openalex publication_date 2008/06/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved La,b,c cone. The geometry flows from AdS5\ifmmode×\else\texttimes\fiLa,b,c to AdS5\ifmmode×\else\texttimes\fiS5/ℤk. The corresponding quiver gauge theory undergoes a renormalization group flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various La,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 that acquire nonzero vacuum expectation values as the quiver gauge theory flows away from a fixed point.