Cubic constraints for the resolvents of the ABJM matrix model and its cousins
| Autor: | Takao Suyama, Takeshi Oota, Reiji Yoshioka, Hiroshi Itoyama |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Class (set theory) 010308 nuclear & particles physics FOS: Physical sciences Astronomy and Astrophysics 01 natural sciences Atomic and Molecular Physics and Optics Matrix model Set (abstract data type) Matrix (mathematics) High Energy Physics - Theory (hep-th) 0103 physical sciences Schwinger–Dyson equation Affine transformation 010306 general physics Mathematical physics Resolvent |
| Popis: | A set of Schwinger-Dyson equations forming constraints for at most three resolvent functions are considered for a class of Chern-Simons matter matrix models with two nodes labelled by a non-vanishing number $n$. The two cases $n=2$ and $n= -2$ label respectively the ABJM matrix model, which is the hyperbolic lift of the affine $A_1^{(1)}$ quiver matrix model, and the lens space matrix model. In the planar limit, we derive two cubic loop equations for the two planar resolvents. One of these reduces to the quadratic one when $n = \pm 2$. 23 pages; v2: a reference added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|