branes and the color branes can be neglected. Just like the SS model, the $\tau$ coordinate is wrapped on a circle and the anti-periodic condition is considered for the fermions on the thermal circle. The final low energy effective theory on the background is a four-dimensional QCD-like effective theory with the global chiral symmetry $U(N_f)_L\times U(N_f)_R$.

In this model, the near horizon gravity background at low energy is \[45\] $$\begin{aligned}
ds^2=\left( \frac{U}{R} \right)^2 (-dt^2+dx_i dx_i+f(U) d\tau^2) +
\left( \frac{R}{U} \right)^2 \frac{dU^2}{f(U)},\end{aligned}$$ where R is the radius of the AdS space. Also $f(U)$ and RR six-form field strength, $F_{(6)}$ are defined by the following relations $$\begin{aligned}
F_{(6)}&=&Q_c \left( \frac{U}{R} \right)^4 dt \wedge
dx_1\wedge dx_2 \wedge dx_3  \wedge du \wedge d\tau \,, \nonumber\\
f(U)&=&1-\left( \frac{U_{KK}}{U} \right)^5.\end{aligned}$$ In order to obtain solutions of near extremal flavored $AdS_6$, the values of dilaton and $R_{AdS}$ are considered as $$\begin{aligned}
e^\phi &=& \frac{2}{3}\frac{Q_f}{Q_c^2}(\sqrt{1+\frac{6Q_c^2}{Q_f^2}}-1)\, ,\nonumber\\
R_{AdS}^2&=&\frac{90}{12+\frac{Q_f^2}{Q_c^2}-\frac{Q_f^2}{Q_c^2}\sqrt{1+\frac{6Q_c^2}{Q_f^2}}}.\end{aligned}$$ This relation indicates that the $R_{AdS}$ and dilaton depend on the ratio of the number of colors $(\sim Q_c)$ and flavors$(\sim Q_f)$. Under the quenched approximation, the values of the dilaton and AdS radius can be rewritten as, $$\begin{aligned}
R_{AdS}^2=\frac{15}{2}\,\,\,\,,\,\,\,\,e^\phi &=
&\frac{2\sqrt2}{\sqrt3 Q_c},\end{aligned}$$ where $Q_c$ is proportional to the number of 