  We discuss a continuous family of non-supersymmetric AdS$_3\times
S^3\times{\rm T^4}$ vacua in heterotic and type II supergravities whose
complete Kaluza-Klein spectrum is computed and found to be free from
instabilities. This family is protected as well against some non-perturbative
decay channels, and as such it provides the first candidate for a
non-supersymmetric holographic conformal manifold in 2$d$. We also describe the
operators realising the deformations in the worldsheet and boundary CFT's.
