Franco, S., He, Y., Herzog, C. & Walcher, J. (2004). Chaotic duality in string theory. Physical Review D (PRD), 70(4), doi: 10.1103/PhysRevD.70.046006

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Abstract
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 worldvolume theory on a set of Dbranes at a CalabiYau 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 selfsimilar fractal structure. For a gauge theory dual to CP^2 blown up at a point, we find periodic and quasiperiodic behavior for the gauge theory couplings that does not violate the aconjecture. Finally, we construct supergravity duals for these del Pezzos that match our field theory beta functions.
Item Type:  Article 

Additional Information:  archiveprefix: arXiv primaryclass: hepth 
Subjects:  Q Science > QC Physics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
URI:  http://openaccess.city.ac.uk/id/eprint/847 
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