  We study the surface defect in $\mathcal{N}=2^*$ $U(N)$ gauge theory in four
dimensions and its relation to quantum Hall states in two dimensions. We first
prove that the defect partition function becomes the Jack polynomial of the
variables describing the brane positions by imposing the Higgsing condition and
taking the bulk decoupling limit. Further tuning the adjoint mass parameter, we
may obtain various fractional quantum Hall states, including Laughlin,
Moore-Read, and Read-Rezayi states, due to the admissible condition of the Jack
polynomial.
