Abstract
We construct a supergravity dual to the cascading supersymmetric gauge theory (related to fractional D3-branes on a conifold according to Klebanov and co-workers) in the case when the three-space is compactified on and in the phase with unbroken chiral symmetry. The size of serves as an infrared cutoff on the gauge-theory dynamics. For a sufficiently large the dual supergravity background is expected to be nonsingular. We demonstrate that this is indeed the case: we find a smooth type IIB supergravity solution using a perturbation theory that is valid when the radius of is large. We consider also the case with the Euclidean world volume being instead of where the supergravity solution is again found to be regular. This “curved space” resolution of the singularity of the fractional D3-branes on the conifold solution is analogous to the one in the nonextremal (finite temperature) case discussed in our previous work.
- Received 17 November 2001
DOI:https://doi.org/10.1103/PhysRevD.65.085019
©2002 American Physical Society