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Spin connection

In differential geometry and 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 as the gauge field generated by local Lorentz transformations. In some canonical formulations of general relativity, a spin connection is defined on spatial…

Applications, Cartan's structure equations & Definition

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Overview

Definition

Cartan's structure equations

Derivation

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Spin connection

Nodes60
Edges59
Triples62
Avg. degree1.97
Density0.033333
Components1

How this topic connects Entity context

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Spin connection

Top relations

related to Cartan's structure equations · 18
Spin connection → Bianchi, Bianchi's, Cartan, Cartan's, Connections, Consistency, Einstein, In, It, Lie, Maurer, More, Note, Riemannian, The, These, Theta, Writing
related to Definition · 17
Spin connection → Christoffel, For, Gamma, Greek, Here, In, Latin, Let, Levi-Civita, Lorentz, Lorentzian, Minkowski, Riemannian Manifold, The, The Greek, The Latin, This
has application · 9
Spin connection → Dirac, However, Lorentz, Specifically, The, The Dirac, This, Under, We
related to Metricity · 9
Spin connection → By, Christoffel, Gamma, It, Levi-Civita, Minkowski, Note, This, We
related to By the metric compatibility · 8
Spin connection → Christoffel, First, Gamma, Omega, The, Then, This, To
is a · 1
Spin connection → connection on a spinor bundle

Important terminology Word statistics

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Important terminology

displaystyle connection spin mu ab omega nu torsion gamma also partial general gauge affine lorentz indices curvature metric definition sigma

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Spin connectionis aconnection on a spinor bundle0.90text
Spin connectionhas applicationThe0.60section
Spin connectionhas applicationDirac0.60section
Spin connectionhas applicationSpecifically0.60section
Spin connectionhas applicationHowever0.60section
Spin connectionhas applicationLorentz0.60section
Spin connectionhas applicationThis0.60section
Spin connectionhas applicationThe Dirac0.60section
Spin connectionhas applicationWe0.60section
Spin connectionhas applicationUnder0.60section
Spin connectionrelated to By the metric compatibilityThis0.60section
Spin connectionrelated to By the metric compatibilityTo0.60section

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