Recent content by Jim Kata

Thank you everyone for your thoughtful responses. I would like to drill down on something Mitchell Porter said: "The CFT stress-energy tensor, at a particular point on the boundary, is holographically equivalent to the emission of a graviton into the emergent AdS space from that point (emergent...

The graviton is the helicity two particle one gets when quantizing gravity in a metric formulation. There are two reasons why I have this question. 1.) If you formulate gravity in a tetrad formulation you don't seem to have a helicity two particle just the tetrad and the connection which both...

Consider the following thought experiment, two electrons are in an entangled state with a total angular momentum of zero. They split apart from each other some billion or so years ago and I observe one of the electrons right now. Before the observation, there is some probability that it will be...

Thank you for your answer mathwonk. It seems to work.

Is it true that if two functors are adjoint, then their derived category functors are adjoint? I'm thinking in particular of ext^n and tor_n. The answer seems like it would be obviously yes to me, but I don't think I've seen it spelled out, and I am too lazy to try and prove it. Is there a...

It's chapter fifteen of volume II. I should note that Green, Schwarz, Witten and Griffiths and Harris come at the subject from more of a topology of complex manifolds standpoint, which in imo is more useful to a physicist, and the Chapter in Dummit and Foote and Hartsthorne come at it from...

In Green, Schwarz, Witten volume 2, they have a chapter on Algebraic Geometry that I found to be very accessible. There is a nice introductory chapter to algebraic geometry in Dummit and Foote too. As far as full books on the subject are concerned, I agree with the the recommendation of...

Just rambling, but what would fascinate me is if the 3 generations of particles in the standard model could be explained by those 3 copies of E_8 in the off diagonal terms in h_3(O).

I just saw the movie. It was weird hearing the word relativity that many times in a major motion picture. The takeaways from the movie are that love solves M-theory and if you eject out of your spacecraft into a black hole you'll end up in your daughters bedroom as a ghost. I wonder Kip...

Professor Baez, Egan showed that: \mathfrak{h}_{2}\left(\mathbf{O}\right) \cong E_{10} any speculation on \mathfrak{h}_{3}\left(\mathbf{O}\right) \cong \ ?

I don't think there is such a thing as a d=3 N=4 super Yang Mills theory. In three dimensions you usually work with Chern Simons theories, but I could be wrong.

I have a stupid question. In the books I've read it always said beyond twelve dimensions you got fields with helicities higher than 2 and it was unclear how to couple such fields to matter. I also remember it being said that supersymmetry could not exist in dimensions larger than eleven. So...

The 20th century was a century of political strife struggles between political ideologies, like fascism, socialism and so on. I believe the 21st century will be one of economic strife. In observing the Ukraine situation, I think this is really just a struggle between the EU and IMF verse...

For example say you got an E_8 X E_8 heterotic string theory and you compactify it on a Calibi Yau with SU(3) holonomy it breaks one of the chiralities down to an E_6 G.U.T. So you have something like E_6 X E_8. What do you do with that other copy of E_8? How is that interpreted? I don't...

I agree with Haelfix. I think the current consensus among most Physicist is that GR is an emergent theory, and quantizing it is just quantizing an effective field theory. Not to mention that all attempts to do so have generally been almost a complete failure. So why quantize gravity? I think...