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arXiv · 2303.03423

Dynamical Cobordism Conjecture: Solutions for End-of-the-World Branes

Ralph Blumenhagen·Christian Kneissl·Chuying Wang
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Abstract

We analyze finite size solutions for a generalized $D$-dimensional Dudas-Mourad (DM) model featuring dynamical cobordism with neutral and charged end-of-the-world (ETW) defect branes. Confirming a dynamical version of the Cobordism Conjecture, we explicitly construct non-isotropic solutions for the latter codimension one branes and show the appearance of a lower bound $δ\ge 2\sqrt{(D-1)/(D-2)}$ for the critical exponent in the scaling behavior of the distance and the curvature close to the wall. This allows us to make a connection to the (sharpened) Swampland Distance Conjecture and the (Anti-) de Sitter Distance Conjecture. Moreover, BPS orientifold planes appear as special cases in our analysis and the whole picture is consistent with dimensional reduction from ten to $D$ dimensions. An analogous analysis is performed for a generalized Blumenhagen-Font (BF) model featuring neutral codimension two ETW-branes where the same lower bound for the scaling parameter $δ$ arises.

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Ralph Blumenhagen, Christian Kneissl, Chuying Wang. 2023-03-15. Dynamical Cobordism Conjecture: Solutions for End-of-the-World Branes. https://doi.org/10.1007/jhep05(2023)123

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