A Portal Special Presentation- Geometric Unity: A First Look: Difference between revisions
A Portal Special Presentation- Geometric Unity: A First Look (edit)
Revision as of 00:40, 12 April 2020
, 12 April 2020→Part III: Starting in on Physics
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<p>[01:49:32] And then you realize that the information in the inhomogeneous gauge group, you actually have information, not for one connection, but for two connections. | <p>[01:49:32] And then you realize that the information in the inhomogeneous gauge group, you actually have information, not for one connection, but for two connections. | ||
<p>[01:49:44] So in one case I can do plus star to pick up the $A_\pi$$. | <p>[01:49:44] So in one case I can do plus star to pick up the $$A_\pi$$. | ||
<p>[01:49:59] But I'm also going to have a derivative operator, if I just do a star operation. So I need another derivative operator to kill it off here. So I'm going to take minus the derivative with respect to the connection, $$H^{-1}$$ $$d_{A_0}$$ $$H$$, which defines a connection one form as well as having the same. | <p>[01:49:59] But I'm also going to have a derivative operator, if I just do a star operation. So I need another derivative operator to kill it off here. So I'm going to take minus the derivative with respect to the connection, $$H^{-1}$$ $$d_{A_0}$$ $$H$$, which defines a connection one form as well as having the same. | ||