End of the World Branes from Dimensional Reduction

Abstract

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 cross S4 and AdS4-soliton cross S7 backgrounds in M-theory, we find that the tension of the emerging ETW branes behaves as exp(-3Phi) in the string frame. This indicates the existence of such ETW branes in the strongly coupled regime of type 0A string theory.