  We show how 1+1-dimensional fermionic symmetry-protected topological states
(SPTs, i.e. nontrivial short-range entangled gapped phases of quantum matter
whose boundary exhibits 't Hooft anomaly and whose bulk cannot be deformed into
a trivial tensor product state under finite-depth local unitary transformations
only in the presence of global symmetries), indeed can be unwound to a trivial
state by enlarging the Hilbert space via adding extra degrees of freedom and
suitably extending the global symmetries. The extended projective global
symmetry on the boundary can become supersymmetric in a specific sense, i.e.,
it contains group elements that do not commute with the fermion number parity
$(-1)^F$, while the anti-unitary time-reversal symmetry becomes fractionalized.
This also means we can uplift and remove certain exotic fermionic anomalies
(e.g., "parity" anomaly in time-reversal or reflection symmetry) via
appropriate supersymmetry extensions in terms of group extensions. We work out
explicit examples for multi-layers of 1+1d Majorana fermion chains, then
comment on models with Sachdev-Ye-Kitaev (SYK) interactions, intrinsic
fermionic gapless SPTs protected by supersymmetry, and generalizations to
higher spacetime dimensions via a cobordism theory.
