Examples of group contraction

2008 ◽  
pp. 370-381
Author(s):  
A. Bohm ◽  
R. R. Aldinger
Keyword(s):  
Group Contraction

The RPA as a group contraction and the implications for symmetries

1987 ◽  
Vol 191 (1-2) ◽  
pp. 1-5 ◽  
Author(s):  
F.G. Scholtz ◽  
F.J.W. Hahne
Keyword(s):  
Group Contraction

Quantization about a Yang-Mills pseudoparticle and the conformal group contraction

1979 ◽  
Vol 51 (3) ◽  
pp. 358-366 ◽  
Author(s):  
C. De Concini ◽  
G. Vitiello
Keyword(s):  
Conformal Group ◽  
Yang Mills ◽  
Group Contraction

TIME-REVERSAL, LOOP-ANTILOOP SYMMETRY AND THE BESSEL EQUATION

2003 ◽  
Vol 17 (23) ◽  
pp. 1207-1218 ◽  
Author(s):  
ELEONORA ALFINITO ◽  
GIUSEPPE VITIELLO
Keyword(s):  
Time Reversal ◽  
Thermal Field ◽  
Gauge Theories ◽  
Bessel Equation ◽  
Infinite Dimensional ◽  
Loop Algebras ◽  
Group Contraction ◽  
Chern Simons ◽  
The Universe ◽  
Oscillator Equations

The Bessel equation is shown to be equivalent, under suitable transformations, to a system of two damped/amplified parametric oscillator equations, which have been used in the study of inflationary models of the Universe, thermal field theories and Chern–Simons gauge theories. The breakdown of loop-antiloop symmetry due to group contraction manifests itself as breaking of time-reversal symmetry. The relation between some infinite dimensional loop-algebras, such as the Virasoro-like algebra, and the Euclidean algebras e(2) and e(3) is also analyzed.

scholarly journals Continuous spin representations from group contraction

2005 ◽  
Vol 46 (5) ◽  
pp. 053515 ◽  
Author(s):  
Abu M. Khan ◽  
Pierre Ramond
Keyword(s):  
Continuous Spin ◽  
Group Contraction ◽  
Spin Representations
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