  We study a class of modules, called Chari-Venkatesh modules, for the current
superalgebra $\mathfrak{sl}(1|2)[t]$. This class contains other important
modules, such as graded local Weyl, truncated local Weyl and Demazure-type
modules. We prove that Chari-Venkatesh modules can be realized as fusion
products of generalized Kac modules. In particular, this proves Feigin and
Loktev's conjecture, that fusion products are independent of their fusion
parameters in the case where the fusion factors are generalized Kac modules. As
an application of our results, we obtain bases, dimension and character
formulas for Chari-Venkatesh modules.
