BRST Formalism in Self-Dual Chern-Simons Theory with Matter Fields

2018 ◽  
Vol 48 (2) ◽  
pp. 179-189
Author(s):  
Jialiang Dai ◽  
Engui Fan
1992 ◽  
Vol 07 (02) ◽  
pp. 381-405 ◽  
Author(s):  
KYUNG-HYUN CHO ◽  
CHAIHO RIM

It is shown that in the Abelian Chern–Simons plus Maxwell theory in 1 + 2 dimensions there is a unitary transformation such that massless modes of the gauge field are eliminated completely in the Hilbert space and a nonlocal interaction between matter fields (fermions or scalars) remains instead. The nonlocal interaction is given in terms of an effective gauge field satisfying the Gauss constraint. It is also pointed out that it is the nonlocal interaction that changes the statistics of pointlike particles and that makes a vortex charged.


2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Junkai Dong ◽  
Thomas Hartman ◽  
Yikun Jiang

Abstract WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have N abelian conserved currents and central charge c > N. We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as U(1)2N Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra.


1993 ◽  
Vol 318 (3) ◽  
pp. 465-468 ◽  
Author(s):  
A.N. Kapustin ◽  
P.I. Pronin

2004 ◽  
Vol 13 (2) ◽  
pp. 153-158 ◽  
Author(s):  
Jiang Jin-Huan ◽  
Liu Yun ◽  
Li Zi-Ping

1999 ◽  
Vol 09 (PR10) ◽  
pp. Pr10-223-Pr10-225
Author(s):  
S. Scheidl ◽  
B. Rosenow

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer

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.


1995 ◽  
Vol 73 (5-6) ◽  
pp. 344-348 ◽  
Author(s):  
Yeong-Chuan Kao ◽  
Hsiang-Nan Li

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.


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