Results 61 to 70 of about 1,685,988 (224)

A novel approach to non-commutative gauge theory

open access: yesJournal of High Energy Physics, 2020
We propose a field theoretical model defined on non-commutative space-time with non-constant non-commutativity parameter Θ(x), which satisfies two main requirements: it is gauge invariant and reproduces in the commutative limit, Θ → 0, the standard U(1 ...
Vladislav G. Kupriyanov, Patrizia Vitale
doaj   +1 more source

Mathematical Geometry and Groups for Low-Symmetry Metal Complex Systems

open access: yesMolecules, 2023
Since chemistry, materials science, and crystallography deal with three-dimensional structures, they use mathematics such as geometry and symmetry. In recent years, the application of topology and mathematics to material design has yielded remarkable ...
Takashiro Akitsu
doaj   +1 more source

Symmetry in complex contact geometry

open access: hybridRocky Mountain Journal of Mathematics, 2012
David E. Blair, Adela Mihai
openalex   +3 more sources

On the geometry of twisted symmetries: Gauging and coverings [PDF]

open access: yesJournal of Geometry and Physics, 2020
We consider the theory of \emph{twisted symmetries} of differential equations, in particular $ $ and $ $-symmetries, and discuss their geometrical content. We focus on their interpretation in terms of gauge transformations on the one hand, and of coverings on the other one.
D. Catalano Ferraioli, G. Gaeta
openaire   +3 more sources

Internal symmetry in Poincarè gauge gravity

open access: yesNuclear Physics B
We find a large internal symmetry within 4-dimensional Poincarè gauge theory.In the Riemann-Cartan geometry of Poincaré gauge theory the field equation and geodesics are invariant under projective transformation, just as in affine geometry.
James T. Wheeler
doaj   +1 more source

Symmetry notion as a universal principle of design [PDF]

open access: yesArhitektura i Urbanizam, 2008
Symmetry is a word that appears in a variety of disciplines over a variety of ages, carries many meanings and has always been in direct relation to the most important notions which explain architectural creativity.
Jadrešin-Milić Renata
doaj  

Hexakis(dimethyl sulfoxide-κO)cobalt(III) trinitrate

open access: yesActa Crystallographica Section E, 2010
The metal atom of the title salt, [Co(C2H6OS)6](NO3)3, is coordinated by six dimethyl sulfoxide molecules in an octahedral geometry. The metal atom lies on a special position of overline{3} site symmetry.
Qiuhong Li, Seik Weng Ng
doaj   +1 more source

Symmetry and Symmetry Breaking in Physics: From Geometry to Topology [PDF]

open access: yesSymmetry, 2021
Symmetry (and group theory) is a fundamental principle of theoretical physics. Finite symmetries, continuous symmetries of compact groups, and infinite-dimensional representations of noncompact Lie groups are at the core of solid physics, particle physics, and quantum physics, respectively.
openaire   +2 more sources

Quantum gravity from Weyl conformal geometry

open access: yesEuropean Physical Journal C: Particles and Fields
We review recent developments in physical implications of Weyl conformal geometry. The associated Weyl quadratic gravity action is a gauge theory of the Weyl group of dilatations and Poincaré symmetry.
D. M. Ghilencea
doaj   +1 more source

On the coupling of Galilean-invariant field theories to curved spacetime

open access: yesSciPost Physics, 2018
We consider the problem of coupling Galilean-invariant quantum field theories to a fixed spacetime. We propose that to do so, one couples to Newton-Cartan geometry and in addition imposes a one-form shift symmetry.
Kristan Jensen
doaj   +1 more source

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