A Trio of Dualities: Walls, Trees and Cascades

Details A Trio of Dualities: Walls, Trees and Cascades A Trio of Dualities: Walls, Trees and Cascades

2003-12-18

arxiv.org/abs/hep-th/0312222v2

Fortsch.Phys. 52 (2004) 540-547

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 13 figures, Submitted to "Fortschritte der Physik" as part of the proceedings of the "36th International Symposium A

Scientific paper

10.1002/prop.200310142

We study the RG flow of N=1 world-volume gauge theories of D3-brane probes on certain singular Calabi-Yau threefolds. Taking the gauge theories out of conformality by introducing fractional branes, we compute the NSVZ beta-function and follow the subsequent RG flow in the cascading manner of Klebanov-Strassler. We study the duality trees that blossom from various Seiberg dualities and encode possible cascades. We observe the appearance of duality walls, a finite limit energy scale in the UV beyond which the dualization cascade cannot proceed. Diophantine equations of the Markov type characterize the dual phases of these theories. We discuss how the classification of Markov equations for different geometries into families relates the RG flows of the corresponding gauge theories.

Affiliated with

Also associated with

No associations

Rating

A Trio of Dualities: Walls, Trees and Cascades does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Trio of Dualities: Walls, Trees and Cascades, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Trio of Dualities: Walls, Trees and Cascades will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-308275