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PreprintCC BY 4.0arXiv

Partially Massless Condensates and Reentrant NUT/Bolt Phase Transitions in Conformal Gravity

  • Cristóbal Corral
  • Felipe Diaz
  • Borja Diez
  • Eleftherios Papantonopoulos
  • Per Sundell
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Abstract

We study non-Einstein Bach-flat Taub-NUT/Bolt instantons with weakened AdS boundary conditions. In particular, the next-to-leading-order coefficient in the Fefferman--Graham expansion is nonvanishing, and it sources the partially massless response in the dual conformal field theory. As in the Einstein case, the holographic stress tensor of these instantons represents a perfect fluid with vorticity. Remarkably, we identify a non-Einstein Taub-Bolt branch supporting a nonvanishing partially massless response at zero source, while preserving the full symmetry of the squashed conformal boundary. The additional holographic degrees of freedom enrich the thermodynamic phase structure, allowing the conventional NUT/Bolt transition to disappear or give way to reentrant transitions. We further show that non-Einstein Bolts can possess negative thermodynamic volume and establish the absence of negative modes of a conformally coupled probe scalar on regular Bach-flat NUT backgrounds.

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Cite

BibTeXRIS
BibTeX
@misc{corral2026partially,
  title = {{Partially Massless Condensates and Reentrant NUT/Bolt Phase Transitions in Conformal Gravity}},
  author = {Cristóbal Corral and Felipe Diaz and Borja Diez and Eleftherios Papantonopoulos and Per Sundell},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05787},
  eprint = {2611.05787},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05787},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Partially Massless Condensates and Reentrant NUT/Bolt Phase Transitions in Conformal Gravity
AU  - Cristóbal Corral
AU  - Felipe Diaz
AU  - Borja Diez
AU  - Eleftherios Papantonopoulos
AU  - Per Sundell
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.05787
UR  - https://arxiv.org/abs/2611.05787
AB  - We study non-Einstein Bach-flat Taub-NUT/Bolt instantons with weakened AdS boundary conditions. In particular, the next-to-leading-order coefficient in the Fefferman--Graham expansion is nonvanishing, and it sources the partially massless response in the dual conformal field theory. As in the Einstein case, the holographic stress tensor of these instantons represents a perfect fluid with vorticity. Remarkably, we identify a non-Einstein Taub-Bolt branch supporting a nonvanishing partially massless response at zero source, while preserving the full symmetry of the squashed conformal boundary. The additional holographic degrees of freedom enrich the thermodynamic phase structure, allowing the conventional NUT/Bolt transition to disappear or give way to reentrant transitions. We further show that non-Einstein Bolts can possess negative thermodynamic volume and establish the absence of negative modes of a conformally coupled probe scalar on regular Bach-flat NUT backgrounds.
ER  -