  Consider the domain $E$ in $\mathbb{C}^3$ defined by
  $$
  E=\{(a_{11},a_{22},\text{det}A): A=\begin{pmatrix} a_{11} & a_{12} \\ a_{21}
& a_{22} \end{pmatrix}\text{ with }\lVert A \rVert <1\}.
  $$
  This is called the tetrablock. This paper constructs explicit boundary normal
dilation for a triple $(A,B,P)$ of commuting bounded operators which has
$\bar{E}$ as a spectral set.
  We show that the dilation is minimal and unique under a certain natural
condition. As is well-known, uniqueness of minimal dilation usually does not
hold good in several variables, e.g., Ando's dilation is not known to be
unique. However, in the case of the tetrablock, the third component of the
dilation can be chosen in such a way as to ensure uniqueness.
