Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
By J. Drummond, J. Henn, G. Korchemsky, E. Sokatchev. 2008
711 citations recorded by the source corpus.
We argue that all scattering amplitudes in the maximally supersymmetric N=4 super-Yang–Mills theory possess a new, dual superconformal symmetry which extends the previously discovered dual conformal symmetry of MHV amplitudes. To reveal this property we formulate the scattering amplitudes as functions on the appropriate dual superspace. Rewritten in this form, all tree-level MHV and next-to-MHV amplitudes exhibit manifest dual superconformal symmetry. We propose a new, compact and Lorentz covariant formula for the tree-level NMHV amplitudes for arbitrary numbers and types of external particles. The dual superconformal symmetry is broken at loop level by infrared divergences. However, we provide evidence that the dual conformal anomaly of the MHV and NMHV superamplitudes is the same and, therefore, their ratio is dual conformally invariant. We show this explicitly for the six-particle amplitudes at one loop. We conjecture that these properties hold for all, MHV and non-MHV, superamplitudes in N=4 SYM both at weak and at strong coupling
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/f0601ddbf081e37be2694f197cc3afd4d9a30dbc
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In Nuclear and High Energy Physics
Citations in the corpus
- Bootstrapping an NMHV amplitude through three loops (2014, methodology): “An on-shell superspace [12, 33–35] is used to organize the external states into N = 4 supermultiplets, and the amplitudes into super-amplitudes.”
- Notes on the scattering amplitude — Wilson loop duality (2010, background): “In fact its value can be extracted from the general results for the NMHV ratio function that have been obtained in [19,33], in the scattering amplitude context, 1 〈1235〉 log u2 log u3 u1 (40)”
- Scattering Amplitudes and the Positive Grassmannian (2012, background): “This 5-bracket is the simplest dual super-conformal invariant and was first found in the literature in [125] in momentum space).”
- Two-loop planar master integrals for Higgs → 3 partons with full heavy-quark mass dependence (2016, neutral): “We parametrize the two loop momenta using the spinor-helicity formalism [90] (see [91, 92] for a different formalism), k 1 = z1p μ 1 + z2p μ 2 + z3 〈1−|γμ|2−〉 2〈13〉[32] + z4 〈2−|γμ|1−〉 2〈23〉[31] , k 2 = z5p μ 1 + z6p μ 2 + z7 〈1−|γμ|2−〉 2〈13〉[32] + z8 〈2−|γμ|1−〉 2〈23〉[31] .”
- Unification of residues and Grassmannian dualities (2009, background): “Each of these residues is simultaneously superconformal and dualsuperconformal invariant, and is thus invariant under the full Yangian symmetry of the theory [10, 11].”
- TASI Lectures on Scattering Amplitudes (2017, background): “On-shell tools have excavated a landscape of structures: hidden Yangian and dual conformal symmetries [80, 81, 82, 83, 84], reformulations of the S-matrix in twistor space [85, 86, 22, 87, 88, 89, 90, 91] and Grassmannian space [92, 93, 94], as well as connections to abstract volumes [12, 95] like t”
- Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory (2009, methodology): “It has become clear recently that amplitudes have an additional symmetry, dual superconformal symmetry [38].”
- Hexagon functions and the three-loop remainder function (2013, background): “In the case of non-MHV amplitudes, one can define the “ratio function” [25], which depends on the cross ratios as well as dual superconformal invariants.”