scholarly journals Chains of Interacting Solitons

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 284
Author(s):  
Yakov M. Shnir
Keyword(s):  
Integrable Field Theories ◽  
Dynamic Equilibrium ◽  
Field Theories ◽  
Classical Solutions ◽  
Axially Symmetric ◽  
Integrable Field

We present an overview of multisoliton chains arising in various non-integrable field theories and discuss different mechanisms which may lead to the occurrence of such axially-symmetric classical solutions. We explain the pattern of interactions between different solitons, in particular Q-balls, Skyrmions, and monopoles, and show how chains of interacting non-BPS solitons may form in a dynamic equilibrium between repulsive and attractive forces.

SINGLE q-OSCILLATOR MODE REALIZATION OF QUANTUM GROUP THROUGH CANONICAL BOSONIZATIONS OF SU(2)q AND q-OSCILLATORS

1991 ◽  
Vol 06 (08) ◽  
pp. 701-705 ◽  
Author(s):  
B. BASU MALLICK ◽  
A. KUNDU
Keyword(s):  
Integrable Field Theories ◽  
Quantum Group ◽  
Virasoro Algebra ◽  
Field Theories ◽  
Sine Gordon Model ◽  
Integrable Field

Canonical action-angle type bosonizations of SU(2)q and q-oscillators found by us lead to a novel single q-oscillator mode realization of quantum group, representing a q-deformed Holstein-Primakoff transformation. The same canonical bosonizations help us to find a deforming map for q-oscillators, which in turn induces deforming functionals for centreless Virasoro algebra. Such bosonizations are also shown to play an important role in generating integrable field theories like sine-Gordon model.

scholarly journals CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS

2004 ◽  
Vol 19 (supp02) ◽  
pp. 82-91 ◽  
Author(s):  
P. BOWCOCK ◽  
E. CORRIGAN ◽  
C. ZAMBON
Keyword(s):  
Integrable Field Theories ◽  
Boundary Conditions ◽  
Scalar Fields ◽  
Lagrangian Approach ◽  
Field Theories ◽  
Internal Boundary ◽  
Liouville Type ◽  
Real Scalar ◽  
Integrable Field

Some ideas and remarks are presented concerning a possible Lagrangian approach to the study of internal boundary conditions relating integrable fields at the junction of two domains. The main example given in the article concerns single real scalar fields in each domain and it is found that these may be free, of Liouville type, or of sinh-Gordon type.

scholarly journals INTEGRABLE FIELD THEORIES DERIVED FROM 4-D SELF-DUAL GRAVITY

1996 ◽  
Vol 11 (07) ◽  
pp. 545-552 ◽  
Author(s):  
TATSUYA UENO
Keyword(s):  
Integrable Field Theories ◽  
Sigma Models ◽  
Einstein Equation ◽  
Differential Form ◽  
The Self ◽  
Higgs Bundle ◽  
Field Theories ◽  
Infinite Dimensional ◽  
Dimensional Group ◽  
Integrable Field

We reformulate the self-dual Einstein equation as a trio of differential form equations for simple two-forms. Using them, we can quickly show the equivalence of the theory and 2-D sigma models valued in infinite-dimensional group, which was shown by Park and Husain earlier. We also derive other field theories including the 2-D Higgs bundle equation. This formulation elucidates the relation among these field theories.

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