  In this note, we formulate and prove branching rules of simple polynomial
modules for the Lie superalgebra $\mathfrak{gl}(m|n)$. Our branching rules
depend on the conjugacy class of the Borel subalgebra. A Gelfand-Tsetlin basis
of a polynomial module associated to each Borel subalgebra is obtained in terms
of generalized semistandard tableaux.
