nLab cosmohedron

Idea

In the S-matrix program of quantum field theory, a cosmohedron or cosmological polytope is a polytope used to computes the Wheeler-wavefunction of the universe in the theory. In this manner, cosmohedra are similar to the amplituhedra and associahedra, which are polytopes used to compute scattering amplitudes.

Related concepts

• amplituhedron

• associahedron

• Yang-Mills theory

  • Tr(ϕ³)

• S-matrix

References

• Nima Arkani-Hamed, Paolo Benincasa, Alexander Postnikov, Cosmological Polytopes and the Wavefunction of the Universe [arXiv:1709.02813]

For cosmohedra in $Tr(\phi^3)$:

• Nima Arkani-Hamed, Carolina Figueiredo, Francisco Vazão, Cosmohedra [arXiv:2412.19881]

• Ross Glew, Tomasz Lukowski, Amplitubes: Graph Cosmohedra [arXiv:2502.17564]

category: combinatorics