  We establish a bijective correspondence between isomorphism classes of basic
silting objects of $\mathsf{per}(A)$ and algebraic $t$-structures of
$\mathsf{D}_{\rm fd}(A)$ for locally finite non-positive dg algebra $A$ over a
field $k$ (more generally, we work in the setting of ST-pair inside an
algebraic triangulated category). For a non-positive (topologically)
homologically smooth dg $k$-algebra $A$ whose zeroth cohomology is
finite-dimensional, or for a non-positive proper dg $k$-algebra $A$, the
one-to-one correspondence between isomorphism classes of basic silting objects
of $\mathsf{per}(A)$ and algebraic $t$-structures on $\mathsf{D}_{\rm fd}(A)$
was already known. The main result of this paper generalizes the above two
results to locally finite non-positive dg $k$-algebras.
