Dual superconformal symmetry of scattering amplitudes in N=4 superYangMills theory
Abstract
We argue that all scattering amplitudes in the maximally supersymmetric N=4 superYangMills 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 treelevel MHV and nexttoMHV amplitudes exhibit manifest dual superconformal symmetry. We propose a new, compact and Lorentz covariant formula for the treelevel 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 sixparticle amplitudes at one loop. We conjecture that these properties hold for all, MHV and nonMHV, superamplitudes in N=4 SYM both at weak and at strong coupling.
 Publication:

Nuclear Physics B
 Pub Date:
 March 2010
 DOI:
 10.1016/j.nuclphysb.2009.11.022
 arXiv:
 arXiv:0807.1095
 Bibcode:
 2010NuPhB.828..317D
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 58 pages