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We describe type $II_A$ cosmological brane inflation scenarios based on theholographic MQCD model of Aharony et al \cite{Aharony:2010mi}. The scenarioscan be related via T-duality to the type $II_B$ KKLMMT model\cite{Kachru:2003sx}. They describe a probe brane configuration of $p$ D4branes stretching between an $NS5$ and $NS5'$ branes in the holographicbackground of large $N$ D4 branes. The resulting cosmological models have aWick-rotated D4-brane metric, with transverse dimensions compactified, and aspiralling brane with flux $p$. In one model, the background has a smallnonextremality, and the inflaton is provided by the position of a "sliding"D4-brane, and in the other, the background is supersymmetric, but with asliding anti-D4-brane. We obtain good and generic inflationary models, thoughseveral unknowns remain, in particular about subleading corrections. The usualcaveat of volume stabilization generically spoiling slow-roll still applies.

Towards brane-antibrane inflation in type $II_A$: The holographic MQCD model