Results 41 to 50 of about 673,928 (292)

Symmetries of parabolic geometries

Differential Geometry and its Applications, 2009
We generalize the concept of affine locally symmetric spaces for parabolic geometries. We discuss mainly $|1|$--graded geometries and we show some restrictions on their curvature coming from the existence of symmetries. We use the theory of Weyl structures to discuss more interesting $|1|$--graded geometries which can carry a symmetry in a point with ...
openaire   +3 more sources

Geometry-symmetry-free and material-symmetry-guaranteed polariton-induced transparency

iScience
Summary: Plasmon-induced transparency is a classical analogue of electromagnetically induced transparency (EIT). However, its realization and control primarily rely on geometry engineering rather than tuning plasmon polaritons (PPs) themselves, due to ...
Xingyu Tang, Huaping Wang, Zhenyang Cui, Sihao Xia, Zhiwei He, Song Han, Hongsheng Chen, Yingjie Wu   +7 more
doaj   +1 more source

Poisson gauge models and Seiberg-Witten map

Journal of High Energy Physics, 2022
The semiclassical limit of full non-commutative gauge theory is known as Poisson gauge theory. In this work we revise the construction of Poisson gauge theory paying attention to the geometric meaning of the structures involved and advance in the ...
V. G. Kupriyanov, M. A. Kurkov, P. Vitale   +2 more
doaj   +1 more source

Novel discrete symmetries in the general N = 2 supersymmetric quantum mechanical model

, 2013
In addition to the usual supersymmetric (SUSY) continuous symmetry transformations for the general N = 2 SUSY quantum mechanical model, we show the existence of a set of novel discrete symmetry transformations for the Lagrangian of the above SUSY quantum
Kumar, R., Malik, R. P.
core   +1 more source

Einstein-Riemann Gravity on Deformed Spaces [PDF]

, 2006
A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Wess, Julius
core   +4 more sources

A novel approach to non-commutative gauge theory

Journal 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

An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie [PDF]

, 2008
We revisit the third fundamental theorem of Lie (Lie III) for finite dimensional Lie algebras in the context of infinite dimensional matrices.Comment: This is a contribution to the Proc.
Bourgin, Richard D., Robart, Thierry P.
core   +4 more sources

The geometry underlying mirror symmetry [PDF]

, 1999
26 pages, AmS-LaTeX. Final version, to appear in Proc. European Algebraic Geometry Conference (Warwick, 1996)
openaire   +2 more sources

Internal symmetry in Poincarè gauge gravity

Nuclear 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 as tactics of solving mathematical problems

Lietuvos Matematikos Rinkinys, 2012
The article explores symmetry as tactics in solving various mathematical problems. Although in Mathematics curriculum while learning about Geometry, symmetry is taught and simple straightforward exercises are solved, it is argued that the application of ...
Aistė Elijio, Dovilė Malijonytė
doaj   +1 more source