#17430: Implement combinatorics of positive Grassmannian relevant to scattering
amplitudes
-------------------------+-------------------------------------------------
Reporter: hthomas | Owner:
Type: | Status: new
enhancement | Milestone: sage-6.5
Priority: major | Keywords: scattering amplitudes, BCFW
Component: | recursion, positive Grassmannian, plabic graph,
combinatorics | on-shell diagram
Merged in: | Authors: Hugh Thomas
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
-------------------------+-------------------------------------------------
The work of Arkani-Hamed et al (see http://arxiv.org/abs/1212.5605) on
scattering amplitudes in N=4 super-symmetric quantum field theory, assigns
certain permutations to the terms in the BCFW recursion for calculating
scattering amplitudes at tree level. Closely related permutations are
also associated to maximal-dimensional cells in a certain decomposition of
the amplituhedron. I am in the process of writing code to get Sage to
calculate these sets of permutations, and I figured it might be useful to
make that code available.
More ambitiously, there is a Mathematica worksheet which contains code
relevant to the Arkani-Hamed et al. project, and it could be useful to
implement other aspects of it in Sage. See
http://arxiv.org/abs/1212.6974. I have no plans currently to do that, but
if someone else does, please note it on this ticket too.
--
Ticket URL: <http://trac.sagemath.org/ticket/17430>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
