Pith. sign in

REVIEW 3 cited by

Gauged permutation invariant matrix quantum mechanics: Path Integrals

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2312.12397 v2 pith:CJMTK3IB submitted 2023-12-19 hep-th

Denjoe O'Connor , Sanjaye Ramgoolam This is my paper · ORCID
classification hep-th
keywords groupsystemconstructionfunctiongaugedinvariantmatricespartition
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We give a path integral construction of the quantum mechanical partition function for gauged finite groups. Our construction gives the quantization of a system of $d$, $N\times N$ matrices invariant under the adjoint action of the symmetric group $S_N$. The approach is general to any discrete group. For a system of harmonic oscillators, i.e. for the non-interacting case, the partition function is given by the Molien-Weyl formula times the zero-point energy contribution. We further generalise the result to a system of non-square and complex matrices transforming under arbitrary representations of the gauge group.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    SO(d) and O(d) invariant sectors of d-matrix QM show negative microcanonical heat capacity that becomes positive at k_crit ~ N^2/4, forming a caloric fold similar to AdS black holes.

  2. Gauged permutation invariant tensor quantum mechanics, least common multiples and the inclusion-exclusion principle

    hep-th 2025-06 conditional novelty 6.0 of 10

    Canonical partition functions for gauged permutation-invariant s-index tensor oscillators are expressed exactly as products of (1 - x^{LCM(...)})^{-...} factors, with a large-N critical Boltzmann factor x_c ~ log N/(s...

  3. Gram--Wishart--Stiefel formulation of the $N=2$, large--$d$ gauge theory in 1D

    hep-th 2026-07 conditional novelty 5.5 of 10

    Gram/Wishart/Stiefel reformulation of N=2 large-d BFSS/BMN endpoints absorbs -A into a shifted mass and recovers the universal continuum -2d DΛ-channel after non-polynomial transverse completion.

Pith tools