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

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Authors

BERING LARSEN Klaus PAZDERKA Michal

Year of publication 2022
Type Article in Periodical
Magazine / Source Journal of High Energy Physics (JHEP)
MU Faculty or unit

Faculty of Science

Citation
Web
Doi http://dx.doi.org/10.1007/JHEP09(2022)054
Keywords Amplitudes; Super Yang-Mills theory; Symplectic Grassmannian; Dual conformal symmetry;
Description 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.
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