Chaotic duality in string theory

Franco, Sebastian; He, Yang-Hui; Herzog, Christopher; Walcher, Johannes

doi:10.1103/physrevd.70.046006

Chaotic duality in string theory

Franco, Sebastian; He, Yang-Hui; Herzog, Christopher; Walcher, Johannes

Authors

Sebastian Franco

Yang-Hui He

Christopher Herzog

Johannes Walcher

Abstract

We investigate the general features of renormalization group flows near superconformal fixed points of four dimensional N=1 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 P 2 blown up at a point, we find periodic and quasiperiodic 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.

Citation

Franco, S., He, Y., Herzog, C., & Walcher, J. (2004). Chaotic duality in string theory. Physical Review D, 70(4), Article 046006. https://doi.org/10.1103/physrevd.70.046006

Journal Article Type	Article
Publication Date	Aug 27, 2004
Deposit Date	Jan 27, 2014
Publicly Available Date	Feb 14, 2014
Journal	Physical Review D
Print ISSN	1550-7998
Electronic ISSN	1550-2368
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	70
Issue	4
Article Number	046006
DOI	https://doi.org/10.1103/physrevd.70.046006