Affine gauge theory is classical gauge theory where gauge fields are affine connections on the tangent bundle over a smooth manifold X {\displaystyle X} . For instance, these are gauge theory of dislocations in continuous media when X = R 3 {\displaystyle X=\mathbb {R} ^{3}} , the generalization of metric-affine gravitation theory when X {\displaystyle X} is a world manifold and, in particular, gauge theory of the fifth force.
Affine gauge theory is classical gauge theory where gauge fields are affine connections on the tangent bundle over a smooth manifold X {\displaystyle X} . For instance, these are gauge theory of dislocations in continuous media when X = R 3 {\displaystyle X=\mathbb {R} ^{3}} , the generalization of metric-affine gravitation theory when X {\displaystyle X} is a world manifold and, in particular, gauge theory of the fifth force.
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