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


Dedeoğlu B., Ozkan M., Sarıoğlu Ö.

EUROPEAN PHYSICAL JOURNAL C, vol.86, no.6, pp.1-13, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 86 Issue: 6
  • Publication Date: 2026
  • Doi Number: 10.1140/epjc/s10052-026-15847-1
  • Journal Name: EUROPEAN PHYSICAL JOURNAL C
  • Journal Indexes: Scopus, Science Citation Index Expanded (SCI-EXPANDED), Chemical Abstracts Core, Compendex, INSPEC, zbMATH, Directory of Open Access Journals, Nature Index
  • Page Numbers: pp.1-13
  • Middle East Technical University Affiliated: Yes

Abstract

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.