Pith. sign in

REVIEW 1 cited by

Matrix models vs. Seiberg-Witten/Whitham theories

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 hep-th/0209085 v2 pith:K3HCWMBX submitted 2002-09-10 hep-th

L.Chekhov , A.Mironov This is my paper · ORCID
classification hep-th
keywords functionwhithamcorrespondingmatrixmodelspartitiontheoriescoincides
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We discuss the relation between matrix models and the Seiberg--Witten type (SW) theories, recently proposed by Dijkgraaf and Vafa. In particular, we prove that the partition function of the Hermitean one-matrix model in the planar (large $N$) limit coincides with the prepotential of the corresponding SW theory. This partition function is the logarithm of a Whitham $\tau$-function. The corresponding Whitham hierarchy is explicitly constructed. The double-point problem is solved.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Phases in WLZZ Matrix Models

    hep-th 2025-07 conditional novelty 6.0 of 10

    For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.

Pith tools