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amplituhedron

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thumb|Notional amplituhedron visualization In mathematics and theoretical physics (especially twistor string theory), an amplituhedron is a geometric structure introduced in 2013 by Nima Arkani-Hamed and Jaroslav Trnka. It enables simplified calculation of particle interactions in some quantum field theories. 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.

Wikidata facts

Subclass of
Grassmannian
Image
Amplituhedron-0c.png
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time of discovery or invention
2013-00-00

via Wikidata · CC0

~5 min read

Encyclopedic overview

5 sections
Contents
  • Description
  • Implications
  • See also
  • References
  • External links

thumb|Notional amplituhedron visualization In mathematics and theoretical physics (especially twistor string theory), an amplituhedron is a geometric structure introduced in 2013 by Nima Arkani-Hamed and Jaroslav Trnka. It enables simplified calculation of particle interactions in some quantum field theories. 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.

Amplituhedron theory challenges the notion that spacetime locality and unitarity are necessary components of a model of particle interactions. Instead, they are treated as properties that emerge from an underlying phenomenon.

Excerpted from Wikipedia’s “amplituhedron” article, available under the CC BY-SA 4.0 licence.

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