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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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Geometry symmetry-free and higher-order optical bound states in the continuum [PDF]
Nature Communications, 2021 Geometrical symmetry plays a significant role in implementing robust, symmetry-protected, bound states in the continuum (BICs). However, this benefit is only theoretical in many cases since fabricated samples’ unavoidable imperfections may easily break ...
Qingjia Zhou +6 more
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Feynman Integrals, Toric Geometry and Mirror Symmetry [PDF]
Texts & Monographs in Symbolic Computation, 2018 This expository text is about using toric geometry and mirror symmetry for evaluating Feynman integrals. We show that the maximal cut of a Feynman integral is a GKZ hypergeometric series.
P. Vanhove
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Symmetry breaking via internal geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking.
Andrew Talmadge
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Effect of the Metal Transfer Mode on the Symmetry of Bead Geometry in WAAM Aluminum [PDF]
Symmetry, 2021 The symmetrical nature in the case of wall fabrication by wire arc additive manufacturing (WAAM) has been observed in the literature, but it has not been studied as a source of knowledge. This paper focuses on the comparative study of three drop transfer
F. Veiga +3 more
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Corner symmetry and quantum geometry
, 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.
L. Freidel +2 more
semanticscholar +4 more sources
, 2020 Families of algebraic varieties that are parametrized by monomials appear in various areas of mathematics, such as statistics, commutative algebra and combinatorics. Such varieties are referred to as toric varieties and they are the structural objects of toric geometry. The ideals defining toric varieties are prime binomial ideals.
Lamprini Ananiadi
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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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Symmetry breaking and the geometry of reduced density matrices [PDF]
New Journal of Physics, 2016 The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. We demonstrate that the existence of symmetry breaking is a consequence of the geometric structure of the ...
V Zauner +4 more
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Determining molecular structure, coordination geometry, and molecular symmetry using a continuous symmetry operation measure software [PDF]
Nature CommunicationsChemists 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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