Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D

Varování

Publikace nespadá pod Ekonomicko-správní fakultu, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.

Autoři	BERING LARSEN Klaus PAZDERKA Michal
Rok publikování	2022
Druh	Článek v odborném periodiku
Časopis / Zdroj	Journal of High Energy Physics (JHEP)
Fakulta / Pracoviště MU	Přírodovědecká fakulta
Citace
www	http://dx.doi.org/10.1007/JHEP09(2022)054 https://arxiv.org/abs/2204.10014
Doi	http://dx.doi.org/10.1007/JHEP09(2022)054
Klíčová slova	Amplitudes; Super Yang-Mills theory; Symplectic Grassmannian; Dual conformal symmetry;
Popis	We investigate a new algebra-based approach of finding Grassmannian formulas for scattering amplitudes. Our prime motivation is massive amplitudes of 4D N=4 SYM, and therefore we consider a 6D Grassmannian formula, where we can take advantage of massless kinematics. We next use symmetry arguments, and in particular, 6D dual conformal symmetry generalized to arbitrary dual conformal weights. Assuming a rational ansatz in terms of Plücker coordinates (i.e. minors) for the integrand, this approach leads to a set of algebraic equations. As an example, we explicitly find the solution for 4-point scattering amplitudes up to proportionality constants.
Související projekty:	Integrable deformations e-Infrastruktura CZ