Towards a tensionless string field theory for the $ \mathcal{N}=\left(2,0\right) $ CFT in d = 6

We describe progress in using the field theory of tensionless strings to arrive at a Lagrangian for the six-dimensional $$ \mathcal{N}=\left(2,0\right) $$N=20 conformal theory. We construct the free part of the theory and propose an ansatz for the cubic vertex in light-cone superspace. By requiring closure of the (2, 0) supersymmetry algebra, we fix the cubic vertex up to two parameters.