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Strategies to control the geometry and symmetry around lanthanide centres for tailored luminescence and magnetism [PDF]
Nature CommunicationsThe luminescent and magnetic properties of trivalent lanthanides (Ln3+) are indispensable for many emerging technologies, but exacting fine control over these properties requires an understanding of how to purposefully engineer the coordination geometry ...
Thomas E. Karpiuk, Daniel B. Leznoff
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Geometric Curvatures of Plane Symmetry Black Hole [PDF]
Advances in High Energy Physics, 2013 We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition at N=1, where N is a parameter of the plane symmetry black ...
Shao-Wen Wei +3 more
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T-Symmetry in String Geometry Theory
Advances in High Energy PhysicsString geometry theory is one of the candidates of nonperturbative formulation of string theory. In this paper, we have shown that dimensionally reduced string geometry theories have what we call T-symmetry.
Matsuo Sato, Taiki Tohshima
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Geometry and symmetry in skyrmion dynamics [PDF]
Physical Review B, 2021 The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this dependence through simulations of the Landau-Lifshitz-Gilbert equation with Zhang-Li torque and explain them through a geometric analysis of Thiele's ...
Kuchkin, Vladyslav M. +6 more
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Symmetries in Generalized Kähler Geometry [PDF]
Communications in Mathematical Physics, 2006 We define the notion of a moment map and reduction in both generalized complex geometry and generalized K hler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on $\C ^n$, Hirzebruch surfaces, the blow up of $\CP^2$ at arbitrarily many points, and other toric varieties, as well as complex ...
Lin, Yi, Tolman, Susan
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Weyl conformal geometry vs Weyl anomaly
Journal of High Energy Physics, 2023 Weyl conformal geometry is a gauge theory of scale invariance that naturally brings together the Standard Model (SM) and Einstein gravity. The SM embedding in this geometry is possible without new degrees of freedom beyond SM and Weyl geometry, while ...
D. M. Ghilencea
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JTK (Jurnal Tadris Kimiya), 2023 Most chemical concepts are abstract, hierarchical, and constructed from basic to complex concepts. Lewis structure, VSEPR theory, molecular geometry, and molecular symmetry have hierarchical idea.
Habiddin Habiddin +2 more
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Comparing crystal structures with symmetry and geometry
npj Computational Materials, 2021 Measuring the similarity between two arbitrary crystal structures is a common challenge in crystallography and materials science. Although there are an infinite number of ways to mathematically relate two crystal structures, only a few are physically ...
John C. Thomas +2 more
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Noetherianity up to symmetry [PDF]
, 2013 These lecture notes for the 2013 CIME/CIRM summer school Combinatorial Algebraic Geometry deal with manifestly infinite-dimensional algebraic varieties with large symmetry groups.
Draisma, Jan
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Non-metric geometry as the origin of mass in gauge theories of scale invariance
European Physical Journal C: Particles and Fields, 2023 We discuss gauge theories of scale invariance beyond the Standard Model (SM) and Einstein gravity. A consequence of gauging this symmetry is that their underlying 4D geometry is non-metric ( $$\nabla _\mu g_{\alpha \beta }\!\not =\!0$$ ∇ μ g α β ≠ 0 ...
D. M. Ghilencea
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