Department of Physics Papers

Document Type

Journal Article

Date of this Version

6-3-2008

Comments

Suggested Citation:
M. Cvetič and J.F. Vázquez-Poritz. (2008). "Warped resolved La,b,c cones." Physical Review D. 77, 126003.

© 2008 The American Physical Society
http://dx.doi.org/10.1103/PhysRevD.77.126003

Abstract

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 × La,b,c to AdS5 × S5 × 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.

 

Date Posted: 25 January 2011

This document has been peer reviewed.