REVIEW 3 cited by
On matrix models and their $q$-deformations
Not yet reviewed by Pith; the record is open.
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
Signed reviews
abstract
Motivated by the BPS/CFT correspondence, we explore the similarities between the classical $\beta$-deformed Hermitean matrix model and the $q$-deformed matrix models associated to 3d $\mathcal{N}=2$ supersymmetric gauge theories on $D^2\times_{q}S^1$ and $S_b^3$ by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the $W$-algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results.
Forward citations
Cited by 3 Pith papers
-
Correlators in two rainbow tensor and complex multi-matrix models
Two multi-tensor rainbow models are built via W-representations, and their correlators are computed exactly both from colored Dessins and from W-operators.
-
Superintegrability of the Wilson family of matrix models and moments of multivariable orthogonal polynomials
New superintegrability formulas are proposed for eigenvalue models built on multivariate Meixner-Pollaczek and Wilson measures, with the Wilson case left partly conjectural.
-
Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems
In explicit small cases, twisted Baker-Akhiezer functions satisfy the defining linear equations and are eigenfunctions of the integer-ray DIM Hamiltonians.
Discussion (0). Continue with ORCID to comment.