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PreprintCC BY 4.0arXiv

Localizing đť’©=(2,0) AdS3 solutions of M-theory

  • Carolina MattĂ© Gregory
  • Catherine Notman
  • James Sparks
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Abstract

We apply equivariant localization to supersymmetric AdS3Ă— M8 solutions of eleven-dimensional supergravity, dual to two-dimensional đť’©=(2,0) SCFTs. We construct equivariantly closed polyforms encoding the magnetic flux and its dual, calibrated M2-branes and the warped volume, reducing protected observables to fixed point data of the U(1) R-symmetry action. We apply the framework to S4 bundles over coassociative four-cycles and S2 bundles over compact six-manifolds, obtaining topological formulae for leading central charges and gravitational anomalies in terms of quantized fluxes and topological data. We recover the known results for T2Ă— KE4 solutions and construct a compact numerical solution with quantized flux that lies outside the known polynomial branch.

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Cite

BibTeXRIS
BibTeX
@misc{gregory2026localizing,
  title = {{Localizing $\mathcalN=(2,0)$ $AdS_3$ solutions of M-theory}},
  author = {Carolina Matté Gregory and Catherine Notman and James Sparks},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07153},
  eprint = {2610.07153},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07153},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Localizing đť’©=(2,0) AdS_3 solutions of M-theory
AU  - Carolina Matté Gregory
AU  - Catherine Notman
AU  - James Sparks
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.07153
UR  - https://arxiv.org/abs/2610.07153
AB  - We apply equivariant localization to supersymmetric AdS_3Ă— M_8 solutions of eleven-dimensional supergravity, dual to two-dimensional đť’©=(2,0) SCFTs. We construct equivariantly closed polyforms encoding the magnetic flux and its dual, calibrated M2-branes and the warped volume, reducing protected observables to fixed point data of the U(1) R-symmetry action. We apply the framework to S^4 bundles over coassociative four-cycles and S^2 bundles over compact six-manifolds, obtaining topological formulae for leading central charges and gravitational anomalies in terms of quantized fluxes and topological data. We recover the known results for T^2Ă— KE_4 solutions and construct a compact numerical solution with quantized flux that lies outside the known polynomial branch.
ER  -