Chern–Simons-like formulation of 3D MMG-like massive gravity models

2026-06-01
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.
EUROPEAN PHYSICAL JOURNAL C
Citation Formats
B. Dedeoğlu, M. Ozkan, and B. Ö. Sarıoğlu, “Chern–Simons-like formulation of 3D MMG-like massive gravity models,” EUROPEAN PHYSICAL JOURNAL C, vol. 86, no. 6, pp. 1–13, 2026, Accessed: 00, 2026. [Online]. Available: https://doi.org/10.1140/epjc/s10052-026-15847-1.