Chern-Simons-like formulation of 3D MMG-like massive gravity models
Abstract
We investigate the Chern-Simons-like formulation of 3D MMG-like massive gravity models that are "third-way consistent". Building on previous work on exotic massive gravities, we analyze a class of MMG-like theories characterized by a specific parity structure and an auxiliary field hierarchy. Focusing on the simplest non-trivial case, we solve the full set of field equations, determine the AdS background solutions, compute the central charges of the dual CFT, and perform a linearized analysis to obtain the mass spectrum. Along the chiral line, the linearized mass operator develops a rank-2 Jordan block, signaling logarithmic behavior of massive modes in the dual two-dimensional CFT. At a special degenerate point, this structure is enhanced to a rank-3 Jordan block, giving rise to two logarithmic partners and an ultra-logarithmic sector in the boundary theory.
Cite
@article{arxiv.2601.03936,
title = {Chern-Simons-like formulation of 3D MMG-like massive gravity models},
author = {Büşra Dedeoğlu and Mehmet Ozkan and Özgür Sarıoğlu},
journal= {arXiv preprint arXiv:2601.03936},
year = {2026}
}
Comments
1+20 pages, 1 figure