  We construct Nernst brane solutions, that is black branes with zero entropy
density in the extremal limit, of FI-gauged minimal five-dimensional
supergravity coupled to an arbitrary number of vector multiplets. While the
scalars take specific constant values and dynamically determine the value of
the cosmological constant in terms of the FI-parameters, the metric takes the
form of a boosted AdS Schwarzschild black brane. This metric can be brought to
the Carter-Novotny-Horsky form that has previously been observed to occur in
certain limits of boosted D3-branes. By dimensional reduction to four
dimensions we recover the four-dimensional Nernst branes of arXiv:1501.07863
and show how the five-dimensional lift resolves all their UV singularities. The
dynamics of the compactification circle, which expands both in the UV and in
the IR, plays a crucial role. At asymptotic infinity, the curvature singularity
of the four-dimensional metric and the run-away behaviour of the
four-dimensional scalar combine in such a way that the lifted solution becomes
asymptotic to AdS5. Moreover, the existence of a finite chemical potential in
four dimensions is related to fact that the compactification circle has a
finite minimal value. While it is not clear immediately how to embed our
solutions into string theory, we argue that the same type of dictionary as
proposed for boosted D3-branes should apply, although with a lower amount of
supersymmetry.
