Abstract

We show that minimal massive 3d 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.

Details

Title
Spontaneously broken 3d Hietarinta/Maxwell Chern–Simons theory and minimal massive gravity
Author
Chernyavsky Dmitry 1 ; Deger, Nihat Sadik 2 ; Sorokin Dmitri 3   VIAFID ORCID Logo 

1  Tomsk Polytechnic University, School of Physics, Tomsk, Russia (GRID:grid.27736.37) (ISNI:0000 0000 9321 1499) 
2  Bogazici University, Department of Mathematics, Istanbul, Turkey (GRID:grid.11220.30) (ISNI:0000 0001 2253 9056); Max-Planck-Institut fur Gravitationsphysik (Albert-Einstein-Institut), Potsdam, Germany (GRID:grid.450243.4) (ISNI:0000 0001 0790 4262) 
3  I.N.F.N., Sezione di Padova, Padua, Italy (GRID:grid.470212.2); Università degli Studi di Padova, Dipartimento di Fisica e Astronomia “Galileo Galilei”, Padua, Italy (GRID:grid.5608.b) (ISNI:0000 0004 1757 3470) 
Publication year
2020
Publication date
Jun 2020
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1140/epjc/s10052-020-8090-8
ProQuest document ID
2414910169
Copyright
© The Author(s) 2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.