  We review recent developments in the study of the AdS/CFT correspondence in
lower dimensions. We start summarising the classification of AdS$_3\times$S$^2$
solutions in massive Type IIA supergravity with (0,4) supersymmetries, and the
construction of their 2d dual quiver CFTs. These theories are the seed for
further developments, that we review next. First, we construct a new class of
AdS$_3$ solutions in M-theory that describe M-strings in M5-brane
intersections. Second, we generate a new class of AdS$_2\times$S$^3$ solutions
in massive IIA with 4 supercharges that we interpret as describing backreacted
baryon vertices within the 5d $\mathcal{N}=1$ QFT living in D4-D8 branes.
Third, we construct two classes of AdS$_2$ solutions in Type IIB. The first are
dual to discrete light-cone quantised quantum mechanics living in null
cylinders. The second class is interpreted as dual to backreacted baryon
vertices within 4d $\mathcal{N}=2$ QFT living in D3-D7 branes. Explicit dual
quiver field theories are given for all classes of solutions. These are used to
compute the central charges of the CFTs, that are shown to agree with the
holographic expressions.
