scholarly journals Matrix model as a mirror of Chern-Simons theory

2004 ◽  
Vol 2004 (02) ◽  
pp. 010-010 ◽  
Author(s):  
Mina Aganagic ◽  
Albrecht Klemm ◽  
Marcos Marino ◽  
Cumrun Vafa
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Chern-Simons theory on Seifert manifold and matrix model

2019 ◽  
Vol 100 (12) ◽  
Author(s):  
Arghya Chattopadhyay ◽  
Suvankar Dutta ◽  
Neetu
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Seifert Manifold ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Matrix model and Chern–Simons theory

2001 ◽  
Vol 505 (1-4) ◽  
pp. 243-248 ◽  
Author(s):  
J. Klusoň
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals On Relationships among Chern-Simons Theory, BF Theory and Matrix Model

2008 ◽  
Vol 119 (5) ◽  
pp. 863-882 ◽  
Author(s):  
T. Ishii ◽  
G. Ishiki ◽  
K. Ohta ◽  
S. Shimasaki ◽  
A. Tsuchiya
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Bf Theory ◽  
Chern Simons ◽  
Chern Simons Theory

scholarly journals Edge currents in non-commutative Chern-Simons theory from a new matrix model

2003 ◽  
Vol 2003 (09) ◽  
pp. 007-007 ◽  
Author(s):  
Aiyalam P Balachandran ◽  
Seçkin Kürkçüoglu ◽  
Kumar S Gupta
Keyword(s):  
Matrix Model ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory

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.

Infrared finiteness of the two-loop correction to the Chern–Simons term in the Yang–Mills–Chern–Simons theory

1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li
Keyword(s):  
Effective Action ◽  
Background Field ◽  
Landau Gauge ◽  
Quantum Corrections ◽  
Simons Theory ◽  
Loop Correction ◽  
Loop Contribution ◽  
Yang Mills ◽  
Chern Simons ◽  
Chern Simons Theory

We show that the two-loop contribution to the coefficient of the Chern–Simons term in the effective action of the Yang–Mills–Chern–Simons theory is infrared finite in the background field Landau gauge. We also discuss the difficulties in verifying the conjecture, due to topological considerations, that there are no more quantum corrections to the Chern–Simons term other than the well-known one-loop shift of the coefficient.

Is there a phase transition in Maxwell-Chern-Simons theory?

1993 ◽  
Vol 48 (4) ◽  
pp. 1808-1820 ◽  
Author(s):  
Mark Burgess ◽  
David J. Toms ◽  
Nils Tveten
Keyword(s):  
Phase Transition ◽  
Simons Theory ◽  
Chern Simons ◽  
Chern Simons Theory
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