Symmetries of the N=4 SYM S-matrix

Abstract

Under the assumption of a CSW generalization to loop amplitudes in N=4 SYM, (1) We prove that, formally the S-matrix is superconformal invariant to any loop order, and (2) We argue that superconformal symmetry survives regularization. More precisely, IR safe quantities constructed from the S-matrix are superconformal covariant. The IR divergences are regularized in a new holomorphic anomaly friendly regularization. The CSW prescription is known to be valid for all tree level amplitudes and for one loop MHV amplitudes. In these cases, our formal results do not rely on any assumptions.

32 pages, 11 figures. v2: Typos corrected, references added, vanishing contribution appearing in the passage from interacting S-matrix to the full S-matrix eliminated

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Cited by in corpus (28)

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• Y-system for Scattering Amplitudes
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• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• The Yangian origin of the Grassmannian integral
• Yangians, Grassmannians and T-duality
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• New differential equations for on-shell loop integrals
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• Bonus Symmetry for Super Wilson Loops
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