Publication details

6D dual superconformal algebra

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Year of publication 2020
Type Article in Periodical
Magazine / Source Journal of Physics A: Mathematical and Theoretical
MU Faculty or unit

Faculty of Science

Keywords scattering amplitudes; supersymmetric gauge theory; extended supersymmetry;
Description We construct and study the 6D dual superconformal algebra. Our construction is inspired by the dual superconformal symmetry of massless 4D N=4 SYM and extends the previous construction of the enhanced dual conformal algebra for 6D N=(1,1) SYM to the full 6D dual superconformal algebra for chiral theories. We formulate constraints in 6D spinor helicity formalism and find all generators of the 6D dual superconformal algebra. Next we check that they agree with the dual superconformal generators of known 3D and 4D theories. We show that it is possible to significantly simplify the form of generators and compactly write the dual superconformal algebra using superindices. Finally, we work out some examples of algebra invariants.
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