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T-Symmetry in String Geometry Theory

open access: yesAdvances in High Energy Physics
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
doaj   +3 more sources

Determining molecular structure, coordination geometry, and molecular symmetry using a continuous symmetry operation measure software [PDF]

open access: yesNature Communications
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
doaj   +2 more sources

Geometry and symmetry in skyrmion dynamics [PDF]

open access: yesPhysical 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
openaire   +3 more sources

Symmetries in Generalized Kähler Geometry [PDF]

open access: yesCommunications 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
openaire   +3 more sources

Chemistry Students’ Understanding of Lewis Structure, VSEPR Theory, Molecular Geometry, and Symmetry: A Cross-Sectional Study

open access: yesJTK (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
doaj   +1 more source

Weyl conformal geometry vs Weyl anomaly

open access: yesJournal 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
doaj   +1 more source

Comparing crystal structures with symmetry and geometry

open access: yesnpj 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
doaj   +1 more source

Non-metric geometry as the origin of mass in gauge theories of scale invariance

open access: yesEuropean 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
doaj   +1 more source

Corner Symmetry and Quantum Geometry

open access: yes, 2023
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
openaire   +3 more sources

Geometries with the Second Poincaré Symmetry [PDF]

open access: yesCommunications in Theoretical Physics, 2012
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
openaire   +2 more sources

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