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

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''[https://youtu.be/Z7rd04KzLcg?t=6539 01:48:59]''<br>
''[https://youtu.be/Z7rd04KzLcg?t=6539 01:48:59]''<br>
Well, we know that \(\unicode{x2215}\kern-0.5em d_A\) composed with itself is going to be the curvature, and we know that we want that to be hit by a shiab operator. And if shiab is a derivation, you can start to see that that's going to be curvature, so you want something like \(F_A\) followed by shiab over here to cancel. Then you think okay, how am I going to get at getting this augmented torsion? And, then you realize that the information in the inhomogeneous gauge group, you actually have information not for one connection, but for two connections.
Well, we know that \(\unicode{x2215}\kern-0.5em d_A\) composed with itself is going to be the curvature, and we know that we want that to be hit by a shiab operator. And if shiab is a derivation, you can start to see that that's going to be curvature, so you want something like \(F_A\) followed by shiab over here to cancel. Then you think okay, how am I going to get at getting this augmented torsion? And, then you realize that the information in the inhomogeneous gauge group, you actually have information not for one connection, but for two connections.
[[File:OmegaDiagramMorePartlyLabelled.jpg|center]]


''[https://youtu.be/Z7rd04KzLcg?t=6584 01:49:44]''<br>
''[https://youtu.be/Z7rd04KzLcg?t=6584 01:49:44]''<br>