Five-Dimensional Gauged Supergravity with Higher Derivatives.

[摘要] This thesis summarizes the recent developments on the study of five-dimensionalgauged supergravity with higher derivative terms, emphasizing in particular the ap-plication to understanding the hydrodynamic properties of gauge theory plasma viathe AdS/CFT correspondence. We first review how the ungauged and gauged five-dimensional supergravity actions with higher derivative terms can be constructedusing the off-shell superconformal formalism. Then we relate the gauged supergrav-ity to four-dimensional gauge theory using the AdS/CFT correspondence and extractthe physical quantities associated with gauge theory plasma from the dual classicalsupergravity computations. We put a particular emphasis on the discussion of theconjectured lower bound for the shear viscosity over entropy density ratio proposedby Kovtun, Son and Starinets, and discuss how higher derivative terms in supergrav-ity and the introduction of chemical potential for the R-charge affect this bound.

[发布机构] University of Michigan

[效力级别] String Theory

[关键词] Supergravity;String Theory;AdS/CFT Correspondence;Quark-gluon Plasma;Physics;Science;Physics