Results 21 to 30 of about 200,533 (263)

Geometry of classical Higgs fields [PDF]

open access: yes, 2005
In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact ...
Sardanashvily, G.
core   +1 more source

On equivariant Serre problem for principal bundles [PDF]

open access: yes, 2018
Let $E_G$ be a $\Gamma$--equivariant algebraic principal $G$--bundle over a normal complex affine variety $X$ equipped with an action of $\Gamma$, where $G$ and $\Gamma$ are complex linear algebraic groups.
Biswas, Indranil   +2 more
core   +2 more sources

Stability of the matrix model in operator interpretation

open access: yesNuclear Physics B, 2017
The IIB matrix model is one of the candidates for nonperturbative formulation of string theory, and it is believed that the model contains gravitational degrees of freedom in some manner.
Katsuta Sakai
doaj   +1 more source

Towards an extended/higher correspondence

open access: yesComplex Manifolds, 2021
In this short paper, we will review the proposal of a correspondence between the doubled geometry of Double Field Theory and the higher geometry of bundle gerbes.
Alfonsi Luigi
doaj   +1 more source

Principal bundles and ad{è}les

open access: yes, 2021
in French ...
Gille, Philippe, Moret-Bailly, Laurent
openaire   +2 more sources

A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold [PDF]

open access: yes, 2015
A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys.
Bleecker D.   +12 more
core   +3 more sources

Linear and projective connections over a smooth manifold

open access: yesДифференциальная геометрия многообразий фигур, 2023
The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
doaj   +1 more source

The composition equipment for congruence of hypercentred planes

open access: yesДифференциальная геометрия многообразий фигур, 2019
In n-dimensional projective space Pn a manifold , i. e., a cong­ruence of hypercentered planes , is considered. By a hypercentered planе we mean m-dimensional plane with a (m – 1)-dimensional hy­perplane , distinguished in it.
A. V. Vyalova
doaj   +1 more source

Glued linear connection on surface of the projective space

open access: yesДифференциальная геометрия многообразий фигур, 2020
We consider a surface as a variety of centered planes in a multidi­mensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
doaj   +1 more source

Connections in the semiholonomic frame bundle of order r

open access: yesLietuvos Matematikos Rinkinys, 1999
In this article we define the canonical forms on the principal bundle of semiholonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
doaj   +3 more sources

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