Dimensionally Reduced Gravitational Chern-Simons Term and its Kink
G. Guralnik, A. Iorio, R. Jackiw, S.-Y. Pi
TL;DR
This paper explores the dimensional reduction of the gravitational Chern-Simons term from 3D to 2D, revealing a symmetry-breaking solution and kink, linking gravitational kinks to flat space kinks through shared potentials.
Contribution
It introduces a novel reduced form of the gravitational Chern-Simons term and analyzes the resulting kink solutions in two dimensions, highlighting their relation to flat space kinks.
Findings
Reduced Chern-Simons term supports kink solutions in 2D
Kinks in gravity relate to flat space kinks via identical potentials
Dimensional reduction reveals symmetry-breaking phenomena
Abstract
When the gravitational Chern-Simons term is reduced from 3 to 2 dimensions, the lower dimensional theory supports a symmetry breaking solution and an associated kink. Kinks in general relativity bear a close relation to flat space kinks, governed by identical potentials.
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