Nonlocal Charges for Bonus Yangian Symmetries of Super-Yang-Mills
Nathan Berkovits, Andrei Mikhailov (IFT-UNESP, Sao Paulo)
TL;DR
This paper constructs BRST-invariant nonlocal charges in the pure spinor sigma model to support the existence of bonus U(1) Yangian symmetries in N=4 super-Yang-Mills theory, extending to all odd levels.
Contribution
It provides explicit constructions of nonlocal charges for bonus U(1) Yangian symmetries at all odd levels, supporting their proposed existence.
Findings
Constructed BRST-invariant nonlocal charges for bonus symmetries.
Extended the construction to all odd levels of the Yangian.
Provided evidence for the proposed bonus U(1) Yangian symmetry.
Abstract
The existence of a "bonus" U(1) level-one Yangian symmetry of N=4 super-Yang-Mills has recently been proposed. We provide evidence for this proposal by constructing the BRST-invariant nonlocal charge in the pure spinor sigma model corresponding to this bonus level-one symmetry. We also construct analogous charges for bonus U(1) symmetries at all odd levels of the Yangian.
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