.png){kind=icon}
Return
Matrix model partition function by a single constraint
.png){kind=icon}
OA
AI
DOI：10.1140/epjc/s10052-021-09912-0.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In the recent study of Virasoro action on characters, we discovered that it gets especially simple for peculiar linear combinations of the Virasoro operators: particular harmonics of (w) over cap -operators. In this letter, we demonstrate that even more is true: a single w-constraint is sufficient to uniquely specify the partition functions provided one assumes that it is a power series in time-variables. This substitutes the previous specifications in terms of two requirements: either a string equation imposed on the KP/Toda tau-function or a pair ofVirasoro generators. This mysterious single-entry definition holds for a variety of theories, including Hermitian and complex matrix models, and also matrix modelswith external matrix: the unitary and cubic Kontsevich models. In these cases, it is equivalent toW-representation and is closely related to super integrability. However, a similar single equation that completely determines the partition function exists also in the case of the generalized Kontsevich model (GKM) with potential of higher degree, when the constraint algebra is a larger W-algebra, and neither W-representation, nor superintegrability are understood well enough.
Keywords:
1ST SPECIAL-FUNCTIONS
VIRASORO CONSTRAINTS
KONTSEVICH MODEL
EXTERNAL-FIELD
LOOP EQUATIONS
CONTINUUM
LESS
UNITARY
STRINGS
Journal
IF:
4.8
Papers:
1.8W
Citations:
4.7W
Organization
Cited Papers
.png){kind=icon}
ShareSave
ShareSaveShareSaveShareSaveShareSave
View more