Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-16
Phys.Rev.D70:046006,2004
Physics
High Energy Physics
High Energy Physics - Theory
42 pages, 14 figures; v2 typos corrected
Scientific paper
10.1103/PhysRevD.70.046006
We investigate the general features of renormalization group flows near superconformal fixed points of four dimensional N=1 supersymmetric gauge theories with gravity duals. The gauge theories we study arise as the world-volume theory on a set of D-branes at a Calabi-Yau singularity where a del Pezzo surface shrinks to zero size. Based mainly on field theory analysis, we find evidence that such flows are often chaotic and contain exotic features such as duality walls. For a gauge theory where the del Pezzo is the Hirzebruch zero surface, the dependence of the duality wall height on the couplings at some point in the cascade has a self-similar fractal structure. For a gauge theory dual to CP^2 blown up at a point, we find periodic and quasi-periodic behavior for the gauge theory couplings that does not violate the a-conjecture. Finally, we construct supergravity duals for these del Pezzos that match our field theory beta functions.
Franco Sebastian
He Yang-Hui
Herzog Christopher
Walcher Johannes
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