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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125723" target="_blank" >RIV/00216224:14310/22:00125723 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/JHEP09(2022)054" target="_blank" >http://dx.doi.org/10.1007/JHEP09(2022)054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP09(2022)054" target="_blank" >10.1007/JHEP09(2022)054</a>

Result language
angličtina
Original language name
Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
Original language 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10303 - Particles and field physics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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