Holographic P-wave Superfluid In The AdS Soliton Background With RF~2 Corrections

As the direct realization of the holographic principle,Anti-de Sitter/Conformal field theory(AdS/CFT)correspondence maps a gravitation theory in AdS spacetime to a conformal field theory living on its boundary.This strong-weak duality provides us new insights into the understanding of various phenomena of strongly coupled field theories such as the high-temperature superconductor and superfluid,quark-gluon plasma and quantum Hall effect,which has achieved many important progresses in different domains,such as the condensed matter physics,hydrodynamics and quantum chromodynamics.In this thesis,we constructed the holographic Abelian-Higgs s-wave,Maxwell-vector p-wave and SU(2)Yang-Mills p-wave superfluid models in the background metric of the AdS soliton with RF~2corrections by using the AdS/CFT correspondence,and investigated the effects on the superfluid phase transition in the three models in the probe limit where the backreaction of matter fields on the spacetime metric is neglected,which will help us to understand the influences of the 1/N(N is the color quantum number)or 1/λ(λis the’t Hooft coupling)corrections on the holographic dual models.Employing the analytical Sturm-Liouville method as well as the numerical shooting method,we observed that,when turning on the spatial components of the gauge field,the inclusion of RF~2 corrections hinders the superfluid phase transition for all holographic superfluid models considered here.However,in the absence of the superfluid velocity,it is found that the RF~2 corrections lead to distinct effects for the three models,i.e.,the transition point regarding the critical chemical potential is insensitive to the RF~2correction for the Abelian-Higgs s-wave and Maxwell-vector p-wave models,while it is sensitively dependent on the RF~2correction for the Yang-Mills p-wave model.We noted that,regardless of either the RF~2correction or the spatial component of the gauge field,the phase transition of the system is observed to be always of the second order in the three models.Moreover,a linear relationship between the charge density and chemical potential is largely established near the critical point in all holographic superfluid models.