N = 4 Yang-Mills theory on the light cone

Gravitation and quadratic forms

“…The physical degrees of freedom in N = 8 supergravity are all described by a single superfield [21] (and its conjugate) with Grassmann variables θ m (m . .…”

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

“…This idea of determining the interacting Hamiltonian by requiring the closure of the symmetry algebra has proven extremely fruitful in the past [41][42][43][44]. In particular, the entire N = 4 SYM theory -for which the light-cone superspace formulation was first obtained in [23,45] can be derived from closure of the superconformal algebra [46]. The action describing lightcone superstring field theory in ten dimensions has also been derived to cubic order in this way in [47][48][49][50] and the full Lorentz symmetry of the theory up to cubic order was verified in [51].…”

“…The formulation of spacetime supersymmetric SFT by Green, Schwarz and Brink [47][48][49][50] also belongs to this class of models. In the other approach, one uses superfields depending on both θ andθ, and certain chirality constraints are imposed, as was done for N = 4 SYM in [45]. While the former choice has the advantage of being direct, in the latter, formulae for the charges and the power-counting procedure [70] are more transparent because fermionic coordinates enter in supercovariant combinations.…”

Particles, superparticles and super Yang-Mills

“…One possible approach to imposing further constraints is to abandon manifest SO(8) invariance and decompose the coordinates into representations of a U (4) subgroup [46,47]. Thus θȧ is decomposed into θ α ,θ α which transform as a 4 and 4, respectively.…”