Spontaneously broken 3d Hietarinta/Maxwell Chern–Simons theory and minimal massive gravity

We show that minimal massive 3 d gravity (MMG) of (Bergshoeff et al. in Class Quantum Grav 31:145008, 2014), 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...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-06, Vol.80 (6), p.1-16, Article 556
Main Authors: Chernyavsky, Dmitry, Deger, Nihat Sadik, Sorokin, Dmitri
Format: Article
Language:English
Subjects:
Algebra
Analysis
Astronomy
Astrophysics and Cosmology
Elementary Particles
Field theory (physics)
Gravitation
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Propagation modes
Quantum Field Theories
Quantum Field Theory
Quantum theory
Regular Article - Theoretical Physics
String Theory
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Summary:We show that minimal massive 3 d gravity (MMG) of (Bergshoeff et al. in Class Quantum Grav 31:145008, 2014), 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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-8090-8