RG-Flows, AdS/CFT Correspondence and Stability of Non-Dilatonic Branes

Author: Ozakin, Arkadas Inan

Year: 2004

Degree: Dissertation (Ph.D.)

Advisor: Gubser, Steven Scott

Committee Members: Gubser, Steven Scott; Wise, Mark B.; Preskill, John P.; Schwarz, John H.

Option: Physics

DOI: 10.7907/DQKG-HY63

Abstract

The possibility of having multiple renormalization group (RG) flows (one of which is supersymmetric) between two fixed points is investigated in the context of anti de Sitter / conformal field theory (AdS/CFT) correspondence. An analysis of a toy-model potential suggests that such flows are likely to exist. Superpotential methods are used in the context of finite temperature AdS/CFT to derive a black brane solution which approximates various finite temperature RG-flows in AdS/CFT near the horizon. This solution is also used in formulating a notion of univerality classes of instabilities of black braves. Instabilities of D3, M2 and M5-branes are investigated numerically, and the results confirm the predictions of the proposal of universality classes.

Files

• Ozakin_ai_2004.pdf (application/pdf)