Zakharov-Shabat-Mikhailov scheme of construction of two-dimensional completely integrable field theories

1980 ◽  
Vol 5 (1) ◽  
pp. 55-62 ◽  
Author(s):  
D. V. Chudnovsky ◽  
G. V. Chudnovsky
Keyword(s):  
Integrable Field Theories ◽  
Field Theories ◽  
Two Dimensional ◽  
Completely Integrable ◽  
Integrable Field

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.

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