Spin connection information

mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine connection. It can also be regarded...

manifolds: the spin group is the structure group of a spinor bundle. The affine connection on a spinor bundle is the spin connection; the spin connection can simplify...

Rodolfo Gambini and others. Spin networks can also be used to construct a particular functional on the space of connections which is invariant under local...

because Weyl spinors can be very naturally defined on a Riemannian manifold and their natural setting leads to the spin connection. Those spinors take form...

bundle. To write down the equation we also need the spin connection, also known as the connection (1-)form. The dual frame fields { e μ } {\displaystyle...

and physics, spinors (/spɪnər/) are elements of a complex number-based vector space that can be associated with Euclidean space. A spinor transforms linearly...

follows Fermi–Dirac statistics. Fermions have a half-odd-integer spin (spin 1/2, spin 3/2, etc.) and obey the Pauli exclusion principle. These particles...

vierbein. The local Lorentz symmetry has a gauge connection associated with it, the spin connection. The following discussion will be in superspace notation...

the usual Levi-Civita connection and   Γ a j k   {\displaystyle \ \Gamma _{a\;\;j}^{\;\;k}\ } is the so-called spin connection. Let us take the configuration...

Riemannian manifolds can have spinors and spin connections built upon them, via the Clifford algebra. The Dirac spinor is specific to that of Minkowski...

{\displaystyle \operatorname {SU} (2)} connection where Γ a i {\displaystyle \Gamma _{a}^{i}} is related to the so-called spin connection via Γ a i = Γ a j k ϵ j k...

connection with and without torsion in it. It commonly appears in the study of spin connections. Thus, for example, a vielbein together with a spin connection...

Spin City is an American sitcom television series that aired from September 17, 1996, to April 30, 2002, on ABC. Created by Gary David Goldberg and Bill...

Spin Master Corp. is a Canadian multinational children's toy and entertainment company. Spin Master employs over 1,600 people globally with offices in...

S_{x}} endowed with a Lorentzian metric. The spin curvature is defined as the holonomy of the spin connection, R ( x , y , z ) = D x , y D y , z D z , x...

matter with intrinsic angular momentum (spin). This theory removes a constraint of the symmetry of the affine connection and treats its antisymmetric part,...

and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential...

undiscovered particles, or have gravity-like (spin connection) bosons affecting elements of the particles spin direction. Each of these possesses theoretical...

representation in Lie group theory. Generalisations exist for spinor fields, fibre bundles with a connection and vector-valued differential forms. A 'naïve' attempt...

machinery such as the spinning jenny and spinning frame, which displaced the spinning wheel during the Industrial Revolution. The basic spinning of yarn involves...

{\displaystyle {\tilde {\Gamma }}} is the spin connection, a lifting of the Levi-Civita connection on M to the spinor bundle over M. The square in this case...

Levi-Civita connection and associated spin connections are not invariant under Weyl transformations. Weyl connections are a class of affine connections that...