Existence and properties of radial solutions in the self-dual Chern-Simons O(3) sigma model

2011 ◽  
Vol 52 (8) ◽  
pp. 082301 ◽  
Author(s):  
Kwangseok Choe ◽  
Jongmin Han
Keyword(s):  
Sigma Model ◽  
The Self ◽  
Radial Solutions ◽  
Chern Simons

Nontopological solutions in the self-dual Maxwell–Chern–Simons gauged O(3) sigma model

2015 ◽  
Vol 118 ◽  
pp. 22-40 ◽  
Author(s):  
Jongmin Han ◽  
Kyungwoo Song
Keyword(s):  
Sigma Model ◽  
The Self ◽  
Chern Simons

Existence of radial solutions in the Chern–Simons–Higgs model with its N=2 SUSY extension

Nonlinearity ◽  
2021 ◽  
Vol 34 (6) ◽  
pp. 3907-3935
Author(s):  
Hsin-Yuan Huang ◽  
Hsien-Chung Kao
Keyword(s):  
Higgs Model ◽  
Radial Solutions ◽  
Chern Simons

NEW ACTIONS FOR SELF-DUAL FIELDS IN 2D AND 3D

2008 ◽  
Vol 23 (30) ◽  
pp. 4829-4840 ◽  
Author(s):  
E. M. C. ABREU ◽  
A. CALIL ◽  
L. S. GRIGORIO ◽  
M. S. GUIMARAES ◽  
C. WOTZASEK
Keyword(s):  
Condensed Phase ◽  
Continuous Mapping ◽  
Order Theory ◽  
Second Order ◽  
The Self ◽  
Dual Model ◽  
2D And 3D ◽  
Chern Simons

New actions in D = 2 and D = 3 are proposed that are dual equivalent to known theories displaying well-defined chirality and helicity, respectively, along with new interpolating actions mapping continuously through the original dualities. The new chiral action in D = 2 is a second-order theory displaying the chiral constraint dynamically. In D = 3 the helicity constraint is imposed a la Siegel displaying a continuous mapping between the Maxwell–Chern–Simons and the self-dual model. It is also shown that the resulting theories introduce new versions of the Hull noton to take care of the symmetry aspects of the original models. The new interpolating formulation is then reexamined as a condensed phase for the discussion of duality under the light of the dual mechanisms — Julia–Toulouse and Higgs — establishing new interpolating actions in the dilute phase, according to these mechanisms.

Remarks on Chern-Simons gauged O(3) sigma model in one space dimension

2019 ◽  
Vol 60 (2) ◽  
pp. 021508
Author(s):  
Guanghui Jin ◽  
Hyungjin Huh
Keyword(s):  
Sigma Model ◽  
Space Dimension ◽  
Chern Simons ◽  
One Space Dimension
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