WebFeb 9, 2024 · Canonical forms of positive geometries play an important role in revealing hidden structures of scattering amplitudes, from amplituhedra to associahedra. In this … WebPrepared for submission to JHEP Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra Song Hea;b;c;d ,Zhenjie Lia;d …

Stringy canonical forms (Journal Article) DOE PAGES

WebLet be a -dimensional lattice polytope containing exactly one interior lattice point. We give a simple combinatorial formula for computing the stringy -function of the -dimensional canonical toric Fano variety associ… WebNov 2, 2005 · There is a canonical 1-form which locally reads (1) θ 1 = p a d q q. The differential of this is the nondegenerate 2-form (2) ω 2 = d θ 1 = d p a ∧ d q a. Hence ( Ω, ω), known as the phase space, is naturally a symplectic space. ω defines Poisson brackets. That’s the kinematics. Now choose a dynamics by specifying a function (3) H ∈ C ∞ ( Ω), orihica 店舗

Stringy canonical forms - NASA/ADS

WebCanonical forms of positive geometries play an important role in revealing hidden structures of scattering amplitudes, from amplituhedra to associahedra. In this paper, we introduce "stringy canonical forms", which provide a natural definition and extension of canonical forms for general polytopes, deformed by a parameter $\alpha'$. They are defined by real … WebWhen the stringy canonical form is applied to the ABHY associahedron in kinematic space, it produces the usual Koba-Nielsen string integral, giving a direct path from particle to string … WebOct 1, 2024 · Abstract: Stringy canonical forms are a class of integrals that provide α0-deformations of the canonical form of any polytopes. For generalized associahedra of finite-type cluster algebras,... how to write a getter method c#