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

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<p>[01:54:00] $$\Omega^{d-1}(ad)$$ and it's almost the same operators.
<p>[01:54:00] $$\Omega^{d-1}(ad)$$ and it's almost the same operators.


<p>[01:54:09] And this is now not just a great guess, it's actually the information for the deformation theory of the linearized replacement of the Einstein field equations. So this is computing the [[[Zariski tangent space]] just as if you were doing self-dual theory or Chern-Simons theory. You've got two somatic complexes, right?
<p>[01:54:09] And this is now not just a great guess, it's actually the information for the deformation theory of the linearized replacement of the Einstein field equations. So this is computing the [[Zariski tangent space]] just as if you were doing self-dual theory or Chern-Simons theory. You've got two somatic complexes, right?


<p>[01:54:33] One of them is [[Bose]]. One of them is [[Fermi]]. The obstruction to both of them is a common generalization of the Einstein field equations. What's more is if you, if you start to think about this, this is some version of [[Hodge theory]] with funky operators, so you can ask yourself: "Well, what are the harmonic forms in a fractional spin context?"
<p>[01:54:33] One of them is [[Bose]]. One of them is [[Fermi]]. The obstruction to both of them is a common generalization of the Einstein field equations. What's more is if you, if you start to think about this, this is some version of [[Hodge theory]] with funky operators, so you can ask yourself: "Well, what are the harmonic forms in a fractional spin context?"
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