coset geometry
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2017 ◽  
Vol 15 (01) ◽  
pp. 1850005 ◽  
Author(s):  
Andrej B. Arbuzov ◽  
Diego Julio Cirilo-Lombardo

Nonlinear realizations of the [Formula: see text] group are discussed from the point of view of symmetries. Dynamical symmetry breaking is introduced. One linear and one quadratic model in curvature are constructed. Coherent states of the Klauder–Perelomov type are defined for both cases taking into account the coset geometry. A new spontaneous compactification mechanism is defined in the subspace invariant under the stability subgroup. The physical implications of the symmetry rupture in the context of nonlinear realizations and direct gauging are analyzed and briefly discussed.


2016 ◽  
Vol 66 (3) ◽  
Author(s):  
Giovanni Moreno ◽  
Monika Ewa Stypa
Keyword(s):  

AbstractWe prove that the Cayley graph and the coset geometry of the von Dyck group


2014 ◽  
Vol 64 (4) ◽  
Author(s):  
Julie Saedeleer ◽  
Dimitri Leemans ◽  
Mark Mixer ◽  
Tomaž Pisanski

AbstractIt is known that the Levi graph of any rank two coset geometry is an edge-transitive graph, and thus coset geometries can be used to construct many edge transitive graphs. In this paper, we consider the reverse direction. Starting from edge-transitive graphs, we construct all associated core-free, rank two coset geometries. In particular, we focus on 3-valent and 4-valent graphs, and are able to construct coset geometries arising from these graphs. We summarize many properties of these coset geometries in a sequence of tables; in the 4-valent case we restrict to graphs that have relatively small vertex-stabilizers.


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