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A bstract 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 AdS 7 -soliton ×S 4 and AdS 4 -soliton ×S 7 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.
Sugimoto et al. (Thu,) studied this question.