scholarly journals Effective mass of composite fermions and fermionic Chern-Simons theory in the temporal gauge

1998 ◽  
Vol 57 (16) ◽  
pp. 9897-9906 ◽  
Author(s):  
Yue Yu ◽  
Zhao-Bin Su ◽  
Xi Dai
Keyword(s):  
Effective Mass ◽  
Simons Theory ◽  
Composite Fermions ◽  
Temporal Gauge ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Particle-flux separation in Chern-Simons theory and the Landau-level gap of composite fermions

1995 ◽  
Vol 52 (14) ◽  
pp. 10547-10560 ◽  
Author(s):  
Ikuo Ichinose ◽  
Tetsuo Matsui ◽  
Masaru Onoda
Keyword(s):  
Landau Level ◽  
Particle Flux ◽  
Simons Theory ◽  
Composite Fermions ◽  
Chern Simons ◽  
Chern Simons Theory

ON THE ROLE OF WIGNER'S LITTLE GROUP AS A GENERATOR OF GAUGE TRANSFORMATION IN MAXWELL–CHERN–SIMONS THEORY

2001 ◽  
Vol 16 (13) ◽  
pp. 853-862 ◽  
Author(s):  
RABIN BANERJEE ◽  
BISWAJIT CHAKRABORTY ◽  
TOMY SCARIA
Keyword(s):  
Gauge Transformation ◽  
Simons Theory ◽  
Temporal Gauge ◽  
Gauge Fixing ◽  
Chern Simons ◽  
Chern Simons Theory

The role of Wigner's little group in 2 + 1 dimensions as a generator of gauge transformation in the topologically massive Maxwell–Chern–Simons (MCS) theory is discussed. The similarities and dissimilarities between the Maxwell and MCS theories in the context of gauge fixing (spatial transversality and temporal gauge) are also analyzed.

Chern-Simons theory for electrons in high Landau levels

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow
Keyword(s):  
Landau Levels ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Symmetry-resolved entanglement in AdS3/CFT2 coupled to U(1) Chern-Simons theory

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Gauge Field ◽  
Wilson Line ◽  
Entanglement Entropy ◽  
Simons Theory ◽  
Two Dimensional ◽  
Conformal Field ◽  
Chern Simons ◽  
Chern Simons Theory

Abstract We consider symmetry-resolved entanglement entropy in AdS3/CFT2 coupled to U(1) Chern-Simons theory. We identify the holographic dual of the charged moments in the two-dimensional conformal field theory as a charged Wilson line in the bulk of AdS3, namely the Ryu-Takayanagi geodesic minimally coupled to the U(1) Chern-Simons gauge field. We identify the holonomy around the Wilson line as the Aharonov-Bohm phases which, in the two-dimensional field theory, are generated by charged U(1) vertex operators inserted at the endpoints of the entangling interval. Furthermore, we devise a new method to calculate the symmetry resolved entanglement entropy by relating the generating function for the charged moments to the amount of charge in the entangling subregion. We calculate the subregion charge from the U(1) Chern-Simons gauge field sourced by the bulk Wilson line. We use our method to derive the symmetry-resolved entanglement entropy for Poincaré patch and global AdS3, as well as for the conical defect geometries. In all three cases, the symmetry resolved entanglement entropy is determined by the length of the Ryu-Takayanagi geodesic and the Chern-Simons level k, and fulfills equipartition of entanglement. The asymptotic symmetry algebra of the bulk theory is of $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody type. Employing the $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry, we confirm our holographic results by a calculation in the dual conformal field theory.

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