Hairy Taub-NUT solution in gauged supergravity

Abstract

We present and study a family of exact Taub-NUT-AdS solutions with scalar hair in four-dimensional cal N=2 gauged supergravity. The solutions are supported solely by a nontrivial scalar field and its self-interaction potential, with all gauge fields switched off. We determine the conditions under which Killing horizons exist and demonstrate that the spacetime admits at most one Killing horizon, and whenever it exists it is necessarily nondegenerate. In particular, the NUT deformation can give rise to a horizon in a branch whose static limit is horizonless. We also establish that the solutions with nontrivial scalar hair admit no Killing spinors. As in ordinary Taub-NUT-AdS spacetime, the global structure is afflicted by closed timelike curves. We compute the conserved mass using the covariant phase space method and formulate a restricted first law with the NUT parameter held fixed. Finally, we study the Euclidean sector, including an exceptional family specific to Euclidean signature, and determine the regularity conditions for bolts and nuts.

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BibTeX RIS

BibTeX

@misc{nozawa2026hairy,
  title = {{Hairy Taub-NUT solution in gauged supergravity}},
  author = {Masato Nozawa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.32139},
  eprint = {2609.32139},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.32139},
}

RIS

TY  - UNPB
TI  - Hairy Taub-NUT solution in gauged supergravity
AU  - Masato Nozawa
PY  - 2026
DA  - 2026/09/26
PB  - arXiv
DO  - 10.48550/arxiv.2609.32139
UR  - https://arxiv.org/abs/2609.32139
AB  - We present and study a family of exact Taub-NUT-AdS solutions with scalar hair in four-dimensional cal N=2 gauged supergravity. The solutions are supported solely by a nontrivial scalar field and its self-interaction potential, with all gauge fields switched off. We determine the conditions under which Killing horizons exist and demonstrate that the spacetime admits at most one Killing horizon, and whenever it exists it is necessarily nondegenerate. In particular, the NUT deformation can give rise to a horizon in a branch whose static limit is horizonless. We also establish that the solutions with nontrivial scalar hair admit no Killing spinors. As in ordinary Taub-NUT-AdS spacetime, the global structure is afflicted by closed timelike curves. We compute the conserved mass using the covariant phase space method and formulate a restricted first law with the NUT parameter held fixed. Finally, we study the Euclidean sector, including an exceptional family specific to Euclidean signature, and determine the regularity conditions for bolts and nuts.
ER  -

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