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 ×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.
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Acknowledgments
We thank T. Kawamoto, T. Takayanagi and S. Terashima for stimulating discussions. We also thank the participants of the 18th Kavli Asian Winter School, where a part of the work was presented. The work of SS is supported by JSPS KAKENHI (Grant-in-Aid for Scientific Research (B)) grant number JP19H01897 and MEXT KAKENHI (Grant-in-Aid for Transformative Research Areas A “Extreme Universe”) grant number 21H05187. YS is supported by Grant-in-Aid for JSPS Fellows No.23KJ1337.
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ArXiv ePrint: 2312.07891
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