Rainbow Valley of Colored (Anti) de Sitter Gravity in Three Dimensions
Seungho Gwak, Euihun Joung, Karapet Mkrtchyan, Soo-Jong Rey

TL;DR
This paper introduces a novel three-dimensional (A)dS gravity theory with color charges, revealing a rich structure of symmetry breaking, colored matter, and partially-massless fields, with potential implications for understanding gauge interactions in gravity.
Contribution
It constructs a color-decorated (A)dS gravity model in 3D using Chern-Simons theory, exploring symmetry breaking and the emergence of partially-massless fields.
Findings
Only the singlet spin-two acts as the graviton.
Color fields behave as interacting matter and Higgs fields.
Symmetry breaking leads to multiple (A)dS backgrounds with different cosmological constants.
Abstract
We propose a theory of three-dimensional (anti) de Sitter gravity carrying Chan-Paton color charges. We define the theory by Chern-Simons formulation with the gauge algebra , obtaining a color-decorated version of interacting spin-one and spin-two fields. We also describe the theory in metric formulation and show that, among massless spin-two fields, only the singlet one plays the role of metric graviton whereas the rest behave as \emph{colored spinning matter} that strongly interacts at large . Remarkably, these \emph{colored spinning matter} acts as Higgs field and generates a non-trivial potential of staircase shape. At each extremum labelled by , the color gauge symmetry is spontaneously broken down to and provides…
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