End of the world branes from dimensional reduction

We consider dimensional reduction of cigar geometries which are obtained by a Wick rotation of black hole solutions. Originally the cigar geometry is smooth around the tip, but after the dimensional reduction along the Euclidean time direction, there appears an end-of-the-world brane (ETW brane). We derive the tension of the brane by two methods: bulk equations of motion and boundary equations of motion.

In particular, for AdS₇-soliton ×S⁴ and AdS₄-soliton ×S⁷ backgrounds in M-theory, we find that the tension of the emerging ETW branes behaves as t(Φ) ~ e^−3Φ in the string frame. This indicates the existence of such ETW branes in the strongly coupled regime of type 0A string theory.