Matter Coupling and Spontaneous Symmetry Breaking in Topological Gravity
T.T. Burwick, A.H. Chamseddine, K.Meissner
TL;DR
This paper explores matter coupling in 3D topological gravity, demonstrating spontaneous symmetry breaking via a Higgs field and extending the framework to include supersymmetry, maintaining key symmetries.
Contribution
It introduces a novel matter coupling mechanism in topological gravity allowing symmetry breaking and provides a supersymmetric extension of this construction.
Findings
Topological phase persists with matter coupling
Spontaneous symmetry breaking to Lorentz group occurs with a scalar Higgs field
Supersymmetric version of the matter coupling is constructed
Abstract
Matter is coupled to three-dimensional gravity such that the topological phase is allowed and the (anti-) de Sitter or Poincar\'e symmetry remains intact. Spontaneous symmetry breaking to the Lorentz group occurs if a scalar field is included. This Higgs field can then be used to couple matter so that the familiar form of the matter coupling is established in the broken phase. We also give the supersymmetrization of this construction.
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