Results 11 to 20 of about 1,660,274 (339)
Jet-determination of symmetries of parabolic geometries [PDF]
We establish 2-jet determinacy for the symmetry algebra of the underlying structure of any (complex or real) parabolic geometry. At non-flat points, we prove that the symmetry algebra is in fact 1-jet determined. Moreover, we prove 1-jet determinacy at any point for a variety of non-flat parabolic geometries - in particular torsion-free, parabolic ...
Boris Kruglikov, Dennis The
openalex +8 more sources
Geometry of canonical bases and mirror symmetry [PDF]
A decorated surface$$S$$S is an oriented surface with boundary and a finite, possibly empty, set of special points on the boundary, considered modulo isotopy. Let $$\mathrm{G}$$G be a split reductive group over $${\mathbb Q}$$Q. A pair $$(\mathrm{G}, S)$$
A. Goncharov, Li-Chien Shen
semanticscholar +5 more sources
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 ...
Bernd J. Schroers+7 more
openaire +4 more sources
Superfluid Weight Bounds from Symmetry and Quantum Geometry in Flat Bands. [PDF]
Flat-band superconductivity has theoretically demonstrated the importance of band topology to correlated phases. In two dimensions, the superfluid weight, which determines the critical temperature through the Berezinksii-Kosterlitz-Thouless criteria, is ...
Jonah Herzog-Arbeitman+4 more
semanticscholar +1 more source
On the Geometry of Symmetry Breaking Inequalities [PDF]
Breaking symmetries is a popular way of speeding up the branch-and-bound method for symmetric integer programs. We study fundamental domains, which are minimal and closed symmetry breaking polyhedra. Our long-term goal is to understand the relationship between the complexity of such polyhedra and their symmetry breaking capability. Borrowing ideas from
José Verschae+2 more
openaire +2 more sources
Time-reversal symmetry-breaking charge order in a kagome superconductor [PDF]
The kagome lattice1, which is the most prominent structural motif in quantum physics, benefits from inherent non-trivial geometry so that it can host diverse quantum phases, ranging from spin-liquid phases, to topological matter, to intertwined orders2–8
C. Mielke+19 more
semanticscholar +1 more source
Rays, waves, SU(2) symmetry and geometry: toolkits for structured light
Structured light refers to the ability to tailor optical patterns in all its degrees of freedom, from conventional 2D transverse patterns to exotic forms of 3D, 4D, and even higher-dimensional modes of light, which break fundamental paradigms and open ...
Yijie Shen
semanticscholar +1 more source
Effect of the Metal Transfer Mode on the Symmetry of Bead Geometry in WAAM Aluminum
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
semanticscholar +1 more source
The Branes Behind Generalized Symmetry Operators [PDF]
The modern approach to m‐form global symmetries in a d‐dimensional quantum field theory (QFT) entails specifying dimension d−m−1$d-m-1$ topological generalized symmetry operators which non‐trivially link with m‐dimensional defect operators.
J. Heckman+3 more
semanticscholar +1 more source
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