Connection between cut-and-join and Casimir operators

Mironov, A.; Морозов, А.; Zhabin, A.N.

doi:10.1016/j.physletb.2021.136668

Cited by 8 publications

(2 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…and, as established recently, 6) Z r has a peculiar non-Abelian W -representation [25,[29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], i.e. can be unambiguously described by a single combination of W -constraints, ) Z r possesses character expansion in terms of Hall-Littlewood polynomials [16][17][18][19][20][21][22].…”

Section: Jhep10(2021)213mentioning

confidence: 99%

A new kind of anomaly: on W-constraints for GKM

Морозов

2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We look for the origins of the single equation, which is a peculiar combination of W-constrains, which provides the non-abelian W-representation for generalized Kontsevich model (GKM), i.e. is enough to fix the partition function unambiguously. Namely we compare it with the scalar projection of the matrix Ward identity. It turns out that, though similar, the two equations do not coincide, moreover, the latter one is non-polynomial in time-variables. This discrepancy disappears for the cubic model if partition function is reduced to depend on odd times (belong to KdV sub-hierarchy of KP), but in general such reduction is not enough. We consider the failure of such direct interpretation of the “single equation” as a new kind of anomaly, which should be explained and eliminated in the future analysis of GKM.

show abstract

Section: Jhep10(2021)213mentioning

confidence: 99%

A new kind of anomaly: on W-constraints for GKM

Морозов

2021

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…It was followed by the work [1] where the similar series appeared for the different model (BGW model). The sources of interest to series in projective Schur functions can be found in [24], [52], [34], [1], [35], [2], [30], [32], [33], [29]. There are some earlier works on the series, see [50], [41], [42], [28], [25], [8].…”

Section: Introductionmentioning

confidence: 99%