## Department of Physics Papers

#### Document Type

Journal Article

#### Date of this Version

6-3-2008

#### 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}×

*L*to AdS

^{a,b,c}_{5}× S

^{5}× Z

_{k}. 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.

#### Recommended Citation

Cvetič, M.,
&
Vázquez-Poritz, J. F.
(2008).
Warped Resolved *L ^{a,b,c}* Cones.
Retrieved from http://repository.upenn.edu/physics_papers/98

**Date Posted:** 25 January 2011

This document has been peer reviewed.

## Comments

Suggested Citation:

M. Cvetič and J.F. Vázquez-Poritz. (2008). "Warped resolved

Lcones."^{a,b,c}Physical Review D.77, 126003.© 2008 The American Physical Society

http://dx.doi.org/10.1103/PhysRevD.77.126003