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Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory

Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
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

0550-3213
317-374
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a

Drummond, J.M., Henn, J., Korchemsky, G.P. and Sokatchev, E. (2010) Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory. Nuclear Physics B, 828 (1-2), 317-374. (doi:10.1016/j.nuclphysb.2009.11.022).

Record type: Article

Abstract

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

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Published date: March 2010
Organisations: Theoretical Partical Physics Group

Identifiers

Local EPrints ID: 356787
URI: http://eprints.soton.ac.uk/id/eprint/356787
ISSN: 0550-3213
PURE UUID: 261af67f-3098-477b-ad10-1ce4f218e4bd

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Date deposited: 16 Sep 2013 09:14
Last modified: 14 Mar 2024 14:52

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Contributors

Author: J.M. Drummond
Author: J. Henn
Author: G.P. Korchemsky
Author: E. Sokatchev

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