Higher order constraints for the (β-deformed) Hermitian matrix models

We construct the ( β -deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the ( β -deformed) Hermitian matrix models. We prove that these ( β -deformed) higher order constraints are reducib...

Full description

Saved in:
Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-10, Vol.84 (10), p.1044-9, Article 1044
Main Author: Wang, Rui
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Constraints
Deformation
Elementary Particles
Hadrons
Heavy Ions
Hierarchies
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Operators (mathematics)
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Rescaling
String Theory
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We construct the ( β -deformed) higher order total derivative operators and analyze their remarkable properties. In terms of these operators, we derive the higher order constraints for the ( β -deformed) Hermitian matrix models. We prove that these ( β -deformed) higher order constraints are reducible to the Virasoro constraints. Meanwhile, the Itoyama–Matsuo conjecture for the constraints of the Hermitian matrix model is proved. We also find that through rescaling variable transformations, two sets of the constraint operators become the W -operators of W -representations for the ( β -deformed) partition function hierarchies in the literature.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-13377-2