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PreprintCC BY 4.0arXiv

Bulk Monodromy of Logarithmic Graviton Descendants in Critical Topologically Massive Gravity

  • Yannick Mvondo-She
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Abstract

We study the bulk analytic structure of the logarithmic graviton and its global descendants in critical topologically massive gravity. Starting from the Grumiller--Johansson mode, we complexify the radial coordinate and derive its monodromy directly from the branch structure and winding data of the logarithmic radial factor. We then construct the global logarithmic descendants by explicit differential action and show that each descendant decomposes into a universal logarithmic contribution and a log-free meromorphic remainder. This implies a universal unipotent monodromy throughout the global descendant space. The associated nilpotent operator, obtained directly from the bulk analytic continuation, is shown to intertwine the full global SL(2,ℝ)L× SL(2,ℝ)R action. These results provide a direct bulk analytic realization of the logarithmic structure, linking radial monodromy and global conformal symmetry.

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Cite

BibTeXRIS
BibTeX
@misc{mvondoshe2026bulk,
  title = {{Bulk Monodromy of Logarithmic Graviton Descendants in Critical Topologically Massive Gravity}},
  author = {Yannick Mvondo-She},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.07917},
  eprint = {2605.07917},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.07917},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bulk Monodromy of Logarithmic Graviton Descendants in Critical Topologically Massive Gravity
AU  - Yannick Mvondo-She
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2605.07917
UR  - https://arxiv.org/abs/2605.07917
AB  - We study the bulk analytic structure of the logarithmic graviton and its global descendants in critical topologically massive gravity. Starting from the Grumiller--Johansson mode, we complexify the radial coordinate and derive its monodromy directly from the branch structure and winding data of the logarithmic radial factor. We then construct the global logarithmic descendants by explicit differential action and show that each descendant decomposes into a universal logarithmic contribution and a log-free meromorphic remainder. This implies a universal unipotent monodromy throughout the global descendant space. The associated nilpotent operator, obtained directly from the bulk analytic continuation, is shown to intertwine the full global SL(2,ℝ)_L× SL(2,ℝ)_R action. These results provide a direct bulk analytic realization of the logarithmic structure, linking radial monodromy and global conformal symmetry.
ER  -