On form factors in mathcal{N}=4 SYM theory and polytopesReportar como inadecuado

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Journal of High Energy Physics

, 2014:111

First Online: 16 December 2014Received: 28 October 2014Accepted: 27 November 2014 Abstract

In this paper we discuss different recursion relations BCFW and all-line shift for the form factors of the operators from the \ \mathcal{N}=4 \ SYM stress-tensor current supermultiplet T in momentum twistor space. We show that cancelations of spurious poles and the equivalence between different types of recursion relations can be naturally understood using geometrical interpretation of the form factors as a special limit of the volumes of polytopes in ℂℙ in close analogy with the amplitude case. We also show how different relations for the IR pole coefficients can be easily derived using the momentum twistor representation. This raises an intriguing question — which of powerful on-shell methods and ideas can survive off-shell?

KeywordsSupersymmetric gauge theory Scattering Amplitudes Extended Supersymmetry Superspaces ArXiv ePrint: 1407.5568

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Autor: L. V. Bork

Fuente: https://link.springer.com/

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