anti-de Sitter/conformal field theory (AdS/CFT) correspondence and the conjecture of the gauge/gravity duality [@Maldacena:1997re; @Gubser:1998bc; @Witten1998Anti] leads a new way to solve the strong coupling problem of gauge theory. Comparing with the original AdS/CFT correspondence, it is necessary to break the conformal symmetry at low energy to describe QCD. Many efforts have been made towards more realistic holographic description of low energy phenomena of QCD in hadron physics [@Erlich:2005qh; @deTeramond:2005su; @DaRold:2005mxj; @Babington:2003vm; @Kruczenski:2003uq; @Sakai:2004cn; @Sakai:2005yt; @Csaki:2006ji; @Huang:2007fv; @Gherghetta:2009ac; @Kelley:2010mu; @Sui:2009xe; @Sui:2010ay; @Li:2012ay; @Li:2013oda; @Chen:2015zhh] and hot/dense QCD [@Shuryak:2004cy; @Tannenbaum:2006ch; @Policastro:2001yc; @Cai:2009zv; @Cai:2008ph; @Sin:2004yx; @Shuryak:2005ia; @Janik:2005zt; @Nakamura:2006ih; @Sin:2006pv; @Herzog:2006gh; @Gubser:2006bz; @Zhang:2012jd; @Li:2014dsa; @Li:2014hja], including the top-down approaches and bottom-up approaches (see [@Aharony:1999ti; @Erdmenger:2007cm; @Brodsky:2014yha; @Kim:2012ey; @Adams:2012th]for reviews). The deconfinement phase transition [@Herzog:2006ra; @BallonBayona:2007vp; @Cai:2007zw; @Cai:2012eh; @Kim:2007em; @Andreev:2009zk; @Colangelo:2010pe; @Gubser:2008yx; @Gubser:2008ny; @Gubser:2008sz; @Gursoy:2008bu; @Gursoy:2007cb; @Gursoy:2007er; @Gursoy:2008za; @Yaresko:2013tia; @Li:2011hp; @Cai:2012xh; @He:2013qq; @Yang:2014bqa; @Zuo:2014iza; @Afonin:2014jha; @Bruckmann:2013oba; @Rougemont:2015oea] has been widely discussed with the expectation value of Polyakov loop is the order parameter of deconfinement phase transition. However, till recently, the dynamical spontaneous chiral symmetry breaking and chiral phase transition have been realized [@Karch:2006pv; @Chelabi:2015cwn; @Chelabi:2015gpc; @Fang:2015ytf; @Evans:2016jzo; @Evans:2010iy; @Evans:2012cx; @Evans:2011eu] with the chiral condensate as the order parameter.

In large $N_c$ limit, it has 