Discrete symmetry groups of vertex models in statistical mechanics

1995 ◽  
Vol 78 (5-6) ◽  
pp. 1195-1251 ◽  
Author(s):  
S. Boukraa ◽  
J. -M. Maillard ◽  
G. Rollet
Keyword(s):  
Statistical Mechanics ◽  
Discrete Symmetry ◽  
Symmetry Groups ◽  
Vertex Models

Discrete Symmetry Groups

1996 ◽  
pp. 18-46
Author(s):  
Wolfgang Ludwig ◽  
Claus Falter
Keyword(s):  
Discrete Symmetry ◽  
Symmetry Groups

scholarly journals MODULAR GROUPS FOR TWISTED NARAIN MODELS

1994 ◽  
Vol 09 (25) ◽  
pp. 4407-4429 ◽  
Author(s):  
JENS ERLER ◽  
MICHAŁ SPALIŃSKI
Keyword(s):  
Modular Group ◽  
Wilson Line ◽  
Discrete Symmetry ◽  
Symmetry Groups ◽  
Modular Groups ◽  
Treatment Models

We demonstrate how to find modular discrete symmetry groups for ZN orbifolds. The Z7 orbifold is treated in detail as a nontrivial example of a (2, 2) orbifold model. We give the generators of the modular group for this case which, surprisingly, does not contain SL (2; Z)3 as had been speculated. The treatment models with discrete Wilson lines are also discussed. We consider examples which demonstrate that discrete Wilson lines affect the modular group in a nontrivial manner. In particular, we show that it is possible for a Wilson line to break SL (2, Z).

Discrete Symmetry Groups

1988 ◽  
pp. 18-46
Author(s):  
Wolfgang Ludwig ◽  
Claus Falter
Keyword(s):  
Discrete Symmetry ◽  
Symmetry Groups

Applications d'une representation de la mecanique quantique par des fonctions sur l'espace de phase

1973 ◽  
Vol 28 (7) ◽  
pp. 1090-1098 ◽  
Author(s):  
P. Huguenin
Keyword(s):  
Phase Space ◽  
Integral Operator ◽  
Cross Section ◽  
Discrete Symmetry ◽  
Symmetry Groups ◽  
Motion Equations ◽  
S Matrix ◽  
Wigner Transformation ◽  
Quantum Motion ◽  
Quasiprobability Distribution

The Weyl-Wigner transformation enables us to construct a representation of quantum motion equations using functions in phase space. The states of the system are determined by the quasiprobability distribution in phase space and the motion is described by an orthogonal integral operator. This formalism is employed in the study of the classical meaning of the discrete symmetry groups, in the problem of defining the current probability and in the proving of the expression of cross section from the S-matrix.

Islamic geometrical patterns indexing and classification using discrete symmetry groups

2008 ◽  
Vol 1 (2) ◽  
pp. 1-14 ◽  
Author(s):  
Mohamed Ould Djibril ◽  
Rachid Oulad Haj Thami
Keyword(s):  
Discrete Symmetry ◽  
Symmetry Groups

scholarly journals Exploring multi-Higgs models with softly broken large discrete symmetry groups

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Ivo de Medeiros Varzielas ◽  
Igor P. Ivanov ◽  
Miguel Levy
Keyword(s):  
General Procedure ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Discrete Symmetry ◽  
Higgs Doublet ◽  
Structural Features ◽  
Symmetry Groups ◽  
Symmetric Model ◽  
Exact Symmetry ◽  
Symmetric Vacuum

AbstractWe develop methods to study the scalar sector of multi-Higgs models with large discrete symmetry groups that are softly broken. While in the exact symmetry limit, the model has very few parameters and can be studied analytically, proliferation of quadratic couplings in the most general softly broken case makes the analysis cumbersome. We identify two sets of soft breaking terms which play different roles: those which preserve the symmetric vacuum expectation value alignment, and the remaining terms which shift it. Focusing on alignment preserving terms, we check which structural features of the symmetric parent model are conserved and which are modified. We find remarkable examples of structural features which are inherited from the parent symmetric model and which persist even when no exact symmetry is left. The general procedure is illustrated with the example of the three-Higgs-doublet model with the softly broken symmetry group $$\Sigma (36)$$ Σ ( 36 ) .

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