Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants

Bertrand Eynard (SPhT); Nicolas Orantin (SPhT)

Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants

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 0705.0958 v1 pith:4WFQY67D submitted 2007-05-07 math-ph hep-thmath.MP

Bertrand Eynard (SPhT) , Nicolas Orantin (SPhT) This is my paper · ORCID

classification math-phhep-thmath.MP

keywords invariantsmatrixmixedmodelsymmetryalgebraicapplicationbicolored

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

abstract

We compute expectation values of mixed traces containing both matrices in a two matrix model, i.e. generating function for counting bicolored discrete surfaces with non uniform boundary conditions. As an application, we prove the $x-y$ symmetry of the algebraic curve invariants introduced in math-ph/0702045.

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

A bijective topological recursion for maps
math.GT 2026-07 conditional novelty 8.0 of 10

Iterating Tutte's edge-erasing procedure until the topology changes yields a bijective pair-of-pants excision that reproduces (blobbed) topological recursion for maps and stuffed maps.

Pith tools