scholarly journals Matrix models for supersymmetric Chern-Simons theories with an ADE classification

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Daniel R. Gulotta ◽  
J. P. Ang ◽  
Christopher P. Herzog
Keyword(s):  
Matrix Models ◽  
Chern Simons ◽  
Ade Classification

scholarly journals Fermi gas approach to general rank theories and quantum curves

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Naotaka Kubo
Keyword(s):  
Matrix Models ◽  
Critical Role ◽  
Three Dimensional ◽  
Fermi Gas ◽  
Fermi Gases ◽  
Partition Functions ◽  
Density Matrices ◽  
General Rank ◽  
Chern Simons ◽  
The Ideal

Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of ideal Fermi gases when all the nodes have equal ranks. We extend this approach to rank deformed theories. The resulting matrix models factorize into factors depending only on the relative ranks in addition to the Fermi gas factors. We find that this factorization plays a critical role in showing the equality of the partition functions of dual theories related by the Hanany-Witten transition. Furthermore, we show that the inverses of the density matrices of the ideal Fermi gases can be simplified and regarded as quantum curves as in the case without rank deformations. We also comment on four nodes theories using our results.

scholarly journals Chern-Simons matrix models and Stieltjes-Wigert polynomials

2007 ◽  
Vol 48 (2) ◽  
pp. 023507 ◽  
Author(s):  
Yacine Dolivet ◽  
Miguel Tierz
Keyword(s):  
Matrix Models ◽  
Chern Simons

scholarly journals Discrete and oscillatory matrix models in Chern–Simons theory

2005 ◽  
Vol 731 (3) ◽  
pp. 225-241 ◽  
Author(s):  
Sebastian de Haro ◽  
Miguel Tierz
Keyword(s):  
Matrix Models ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Large-Nreduction forN=2quiver Chern-Simons theories onS3and localization in matrix models

2012 ◽  
Vol 85 (10) ◽  
Author(s):  
Yuhma Asano ◽  
Goro Ishiki ◽  
Takashi Okada ◽  
Shinji Shimasaki
Keyword(s):  
Matrix Models ◽  
Chern Simons
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