scholarly journals Thermodynamics of Fermi gases in three dimensional fuzzy space

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
F. G. Scholtz ◽  
J. N. Kriel ◽  
H. W. Groenewald
Keyword(s):  
Three Dimensional ◽  
Fermi Gases ◽  
Fuzzy Space

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 Scattering in a three-dimensional fuzzy space

2017 ◽  
Vol 95 (2) ◽  
Author(s):  
J. N. Kriel ◽  
H. W. Groenewald ◽  
F. G. Scholtz
Keyword(s):  
Three Dimensional ◽  
Fuzzy Space
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