Topological Gravity, Kaluza-Klein Reduction, and the Kink
Alfredo Iorio
TL;DR
This paper explores how reducing a 3D gravitational Chern-Simons term to 2D results in a theory with solutions that interpolate between Anti-de Sitter and de Sitter spaces, revealing new symmetry-breaking phenomena.
Contribution
It introduces a novel 2D theory derived from 3D gravity that admits kink solutions connecting different cosmological geometries.
Findings
Existence of kink solutions interpolating between AdS and dS
Symmetry breaking in the reduced 2D theory
New insights into topological gravity and dimensional reduction
Abstract
Kaluza-Klein reduction of the 3-dimensional gravitational Chern-Simons term leads to a 2-dimensional theory that supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries.
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