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M2-brane matrix models and Fermi gas on affine ABCD quivers

  • Taro Kimura
  • Tomoki Nosaka
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Abstract

We study a new class of M2-brane matrix models associated with affine BC and twisted affine AD quivers. These models exhibit the characteristic N3/2 scaling of the free energy in the large N limit. We establish a Fermi gas formalism and demonstrate that their grand canonical sum is given by a Fredholm Pfaffian, which is in parallel with the affine D quiver matrix models. The resulting Fermi gas density matrix shows a rational dependence on the canonical position/momentum operators in addition to the standard hyperbolic dependence. This leads to unconventional sub-leading corrections, which obstruct the Airy function structure in the 1/N expansion of the free energy observed in the previously studied M2-brane matrix models.

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Cite

BibTeXRIS
BibTeX
@misc{kimura2026m2brane,
  title = {{M2-brane matrix models and Fermi gas on affine ABCD quivers}},
  author = {Taro Kimura and Tomoki Nosaka},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20806},
  eprint = {2609.20806},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05754935v1},
}
RIS
TY  - UNPB
TI  - M2-brane matrix models and Fermi gas on affine ABCD quivers
AU  - Taro Kimura
AU  - Tomoki Nosaka
PY  - 2026
DA  - 2026/09/17
PB  - HAL
DO  - 10.48550/arxiv.2609.20806
UR  - https://hal.science/hal-05754935v1
AB  - We study a new class of M2-brane matrix models associated with affine BC and twisted affine AD quivers. These models exhibit the characteristic N^3/2 scaling of the free energy in the large N limit. We establish a Fermi gas formalism and demonstrate that their grand canonical sum is given by a Fredholm Pfaffian, which is in parallel with the affine D quiver matrix models. The resulting Fermi gas density matrix shows a rational dependence on the canonical position/momentum operators in addition to the standard hyperbolic dependence. This leads to unconventional sub-leading corrections, which obstruct the Airy function structure in the 1/N expansion of the free energy observed in the previously studied M2-brane matrix models.
ER  -