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PreprintCC BY 4.0arXiv

Regularized Master-Field Approximation for Mass-Deformed Supersymmetric Yang-Mills Matrix Models

  • Yue Lei
  • Reishi Maeta
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Abstract

The regularized master-field approximation (RMA) is an efficient computational method for large-N reduced matrix models, including those with multiple matrices or complex integration weights. In this work, we apply the RMA to mass-deformed supersymmetric Yang--Mills-type matrix models with three, four, and ten matrices. All three models admit fuzzy-sphere configurations as classical solutions. We show that the RMA quantitatively reproduces these fuzzy-sphere solutions and their breakdown, and that zero modes of the Dirac operator can destabilize fuzzy-sphere configurations in certain cases.

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Cite

BibTeXRIS
BibTeX
@misc{lei2026regularized,
  title = {{Regularized Master-Field Approximation for Mass-Deformed Supersymmetric Yang-Mills Matrix Models}},
  author = {Yue Lei and Reishi Maeta},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39101},
  eprint = {2610.39101},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39101},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Regularized Master-Field Approximation for Mass-Deformed Supersymmetric Yang-Mills Matrix Models
AU  - Yue Lei
AU  - Reishi Maeta
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39101
UR  - https://arxiv.org/abs/2610.39101
AB  - The regularized master-field approximation (RMA) is an efficient computational method for large-N reduced matrix models, including those with multiple matrices or complex integration weights. In this work, we apply the RMA to mass-deformed supersymmetric Yang--Mills-type matrix models with three, four, and ten matrices. All three models admit fuzzy-sphere configurations as classical solutions. We show that the RMA quantitatively reproduces these fuzzy-sphere solutions and their breakdown, and that zero modes of the Dirac operator can destabilize fuzzy-sphere configurations in certain cases.
ER  -