A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions

A Portal Special Presentation- Geometric Unity: A First Look (edit)

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 <p>[01:45:25] But we are going to define whatever tensor we need. This is gauge invariant. This is gauge invariant. And this is gauge invariant with respect to the tilted gauge group. These two tensors together should be exact. And this tensor on its own should be exact.
-<p>[01:45:53] We're going to call the exact tensor, the ***swervature***.
+<p>[01:45:53] We're going to call the exact tensor, the **swervature**.
-<p>[01:45:59] The particular Shiab operator we call the ***swerve***. So that's 'swerve-curvature' plus the adjustment needed for exactness and another gauge invariant term which is not usually gauge invariant.
+<p>[01:45:59] The particular Shiab operator we call the **swerve**. So that's 'swerve-curvature' plus the adjustment needed for exactness and another gauge invariant term which is not usually gauge invariant.
 <p>[01:46:17] That is pretty cool. If that works, we've now taken the Einstein equation and we've put it not on the space of metrics, but we've put a generalization and an analog on the space of gauge potentials, much more amenable to quantization with much more algebraic structure and symmetry in the form of the inhomogeneous gauge group and its homogeneous vector bundle, some of which may be supersymmetric.