Lie Derivatives and Symmetry Groups

1999 ◽  
pp. 36-55
Author(s):  
Krishan L. Duggal ◽  
Ramesh Sharma
Keyword(s):  
Symmetry Groups ◽  
Lie Derivatives

scholarly journals Crystallography: Symmetry groups and group representations

2012 ◽  
Vol 22 ◽  
pp. 00006
Author(s):  
B. Grenier ◽  
R. Ballou
Keyword(s):  
Symmetry Groups ◽  
Group Representations

scholarly journals Heterotic line bundle models on generalized complete intersection Calabi Yau manifolds

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Magdalena Larfors ◽  
Davide Passaro ◽  
Robin Schneider
Keyword(s):  
Line Bundle ◽  
Complete Intersection ◽  
Particle Physics ◽  
Model Building ◽  
Wilson Line ◽  
Symmetry Groups ◽  
The Standard Model ◽  
Order Of Magnitude ◽  
Systematic Program ◽  
Calabi Yau Manifolds

Abstract The systematic program of heterotic line bundle model building has resulted in a wealth of standard-like models (SLM) for particle physics. In this paper, we continue this work in the setting of generalised Complete Intersection Calabi Yau (gCICY) manifolds. Using the gCICYs constructed in ref. [1], we identify two geometries that, when combined with line bundle sums, are directly suitable for heterotic GUT models. We then show that these gCICYs admit freely acting ℤ2 symmetry groups, and are thus amenable to Wilson line breaking of the GUT gauge group to that of the standard model. We proceed to a systematic scan over line bundle sums over these geometries, that result in 99 and 33 SLMs, respectively. For the first class of models, our results may be compared to line bundle models on homotopically equivalent Complete Intersection Calabi Yau manifolds. This shows that the number of realistic configurations is of the same order of magnitude.

The symmetry groups of non-rigid molecules

2002 ◽  
Vol 100 (1) ◽  
pp. 11-20 ◽  
Author(s):  
H. C. LONGUET-HIGGINS
Keyword(s):  
Symmetry Groups

scholarly journals Visual Discrimination of the 17 Plane Symmetry Groups

Symmetry ◽  
2011 ◽  
Vol 3 (2) ◽  
pp. 207-219 ◽  
Author(s):  
Klaus Landwehr
Keyword(s):  
Visual Discrimination ◽  
Symmetry Groups ◽  
Plane Symmetry

scholarly journals Nest graphs and minimal complete symmetry groups for magic Sudoku variants

2015 ◽  
Vol 45 (3) ◽  
pp. 887-901 ◽  
Author(s):  
E. Arnold ◽  
R. Field ◽  
J. Lorch ◽  
S. Lucas ◽  
L. Taalman
Keyword(s):  
Symmetry Groups ◽  
Complete Symmetry
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