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 17:21, 25 April 2020
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<p>[01:22:20] So $$2^{14}$$ over $$2^7$$ is $$128$$, so we have a map into a structured group of $$U(128)$$ | <p>[01:22:20] So $$2^{14}$$ over $$2^7$$ is $$128$$, so we have a map into a structured group of $$U(128)$$ | ||
<p>[01:22:36] At least in Euclidean signature. We can get to mixed signatures later. From that, we can form the associated bundle, $$\Gamma^{\infty}(P_{U(8)}) \times_{ad}\U($))$$. | <p>[01:22:36] At least in Euclidean signature. We can get to mixed signatures later. From that, we can form the associated bundle, $$\Gamma^{\infty}((P_{U(8)}) \times_{ad}\U($))$$. | ||
<p>[01:22:54] And sections of this bundle are either, depending upon how you want to think about it, the gauge group, $$H$$, or $$\Xi$$, a space of sigma fields. Nonlinear. | <p>[01:22:54] And sections of this bundle are either, depending upon how you want to think about it, the gauge group, $$H$$, or $$\Xi$$, a space of sigma fields. Nonlinear. | ||