Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity

Abstract

We show that minimal massive 3d gravity (MMG), as well as the topological massive gravity, are particular cases of a more general `minimal massive gravity' theory (with a single massive propagating mode) arising upon spontaneous breaking of a local symmetry in a Chern-Simons gravity based on a Hietarinta or Maxwell algebra. Similar to the MMG case, the requirements that the propagating massive mode is neither tachyon nor ghost and that the central charges of an asymptotic algebra associated with a boundary CFT are positive, impose restrictions on the range of the parameters of the theory.

arXiv comment30 pages, v.2: typos corrected comments and references added

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Cited by in corpus (23)

• Three-dimensional non-relativistic extended supergravity with cosmological constant
• Generalized Maxwellian exotic Bargmann gravity theory in three spacetime dimensions
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Non-relativistic and Ultra-relativistic Expansions of Three-dimensional Spin-3 Gravity Theories
• Three-dimensional non-relativistic supergravity and torsion
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• The Third Way to Interacting $p$-form Theories
• Non-relativistic spin-3 symmetries in 2+1 dimensions from expanded/extended Nappi-Witten algebras
• Extended Kinematical 3D Gravity Theories
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Three-dimensional teleparallel Chern-Simons supergravity theory
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• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Non-Lorentzian Supergravity and Kinematical Superalgebras
• A Review of Third Way Consistent Theories
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Hietarinta Chern-Simons supergravity and its asymptotic structure
• Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields
• Three-dimensional non-relativistic Hietarinta supergravity
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
• Nonlinear realisation approach to topologically massive supergravity
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion