Abstract
We construct Nernst brane solutions, that is black branes with zero entropy density in the extremal limit, of FI-gauged minimal ve-dimensional supergravity coupled to an arbitrary number of vector multiplets. While the scalars take speci c 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-Novotn y-Horsk y 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 ve-dimensional lift resolves all their UV singularities. The dynamics of the compacti cation circle, which expands both in the UV and in the IR, plays a crucial role. At asymptotic in nity, 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 nite chemical potential in four dimensions is related to fact that the compacti cation circle has a nite 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.