Results 1 to 10 of about 104,617 (148)
T-Symmetry in String Geometry Theory
String 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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Determining molecular structure, coordination geometry, and molecular symmetry using a continuous symmetry operation measure software [PDF]
Chemists have a strong language describing and defining idealized polyhedra P and symmetry point groups G, but no efficient measure to correlate these to real molecular structures Q.
Villads R. M. Nielsen +1 more
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Geometry and symmetry in skyrmion dynamics [PDF]
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]
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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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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Weyl conformal geometry vs Weyl anomaly
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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Comparing crystal structures with symmetry and geometry
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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Non-metric geometry as the origin of mass in gauge theories of scale invariance
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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Corner Symmetry and Quantum Geometry
By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides us with a rich algebra of boundary charges that generate physical symmetries. These charges are located at codimension-2 entangling surfaces called corners.
Freidel, Laurent +2 more
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Geometries with the Second Poincaré Symmetry [PDF]
The second Poincar kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincar symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants $(c,l)$ can be established.
Huang, Chao-Guang +4 more
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