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PreprintarXiv licencearXiv

Trace Relations and Partition Functions

  • Robert de Mello Koch
  • Antal Jevicki
  • Junjie Zheng
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Abstract

In general trace relations appear in finite N matrix models and collective field theories. They lead, as was established previously, to reductions of large N Hilbert spaces. Even more importantly they induce the appearance of a whole class of new (miraculous) states whose number grows exponentially in N2. In this work we discuss their relevance to finite N thermodynamics and the role they play in constraining the partition functions of finite N theories.

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Cite

BibTeXRIS
BibTeX
@misc{koch2026trace,
  title = {{Trace Relations and Partition Functions}},
  author = {Robert de Mello Koch and Antal Jevicki and Junjie Zheng},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.36455},
  eprint = {2610.36455},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.36455},
}
RIS
TY  - UNPB
TI  - Trace Relations and Partition Functions
AU  - Robert de Mello Koch
AU  - Antal Jevicki
AU  - Junjie Zheng
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.36455
UR  - https://arxiv.org/abs/2610.36455
AB  - In general trace relations appear in finite N matrix models and collective field theories. They lead, as was established previously, to reductions of large N Hilbert spaces. Even more importantly they induce the appearance of a whole class of new (miraculous) states whose number grows exponentially in N^2. In this work we discuss their relevance to finite N thermodynamics and the role they play in constraining the partition functions of finite N theories.
ER  -