End of the World Branes from Dimensional Reduction

TL;DR

This paper studies the emergence of end-of-the-world branes from dimensional reduction of cigar geometries related to black hole solutions, deriving their tension and exploring their implications in M-theory and string theory.

Contribution

It introduces a method to derive ETW brane tension from reduced cigar geometries and demonstrates their presence in strongly coupled string theory regimes.

Findings

ETW branes appear after dimensional reduction of cigar geometries.

The tension of ETW branes behaves as exp(-3Phi) in the string frame.

ETW branes exist in the strongly coupled regime of type 0A string theory.

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.