Amplituhedron

en.wikipedia.org

55 points·lainon··10 comments

Glad you posted this but that article is a bit user-hostile even for math wikipedia. The relevant paper is relatively approachable if you're a mathematical tourist. https://arxiv.org/pdf/1312.2007.pdf

The hand-drawn figures are a nice touch.

Nima's slides are also always a treat. The hand-drawn pictures are always spare, elegant, and crystal-clear.

Quanta magazine article from 2013 https://www.quantamagazine.org/physicists-discover-geometry-...

> In planar N = 4 supersymmetric Yang–Mills theory, also equivalent to the perturbative topological B model string theory in twistor space, an amplituhedron is defined as a mathematical space known as the positive Grassmannian.

Can I use a turbo-encabulator to create amplituhedrons?

https://en.wikipedia.org/wiki/Turboencabulator

As an aside, I work at a company that encourages people to summarize their mission in 3 words. Mine is "malleable logarithmic casings".

I need the 3 brown 1 blue video to understand this one

I started this Wikipedia article! Cool to see it here, but why now?

I tried my hand at editing it, but was definitely lost at the question that it's not that hard to understand geometrically what the idea is, but how it relates to physics means doing a lot more work. So hard to strike the balance. Why would one care about a rectangular matrix all of whose maximal minors are positive.

What a coincidence (!/?) I'm reading Brian Clegg's book Quantum Age and just heard about this for the first time yesterday.

Through substitution of a theoretical geometric object into infinite dimensional space computations are greatly simplified, as Riemann hypothesis provides sufficient rules to deal with infinite series of natural numbers.

Reply on news.ycombinator.com