Associativity and symmetry determine the all-loop 2d chiral algebra OPEs for twistorial self-dual Yang-Mills, with one coefficient, c, left only as an order-by-order solution.
Composite operators and form factors in N=4 SYM
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abstract
We construct the most general composite operators of N = 4 SYM in Lorentz harmonic chiral ($\approx$ twistor) superspace. The operators are built from the SYM supercurvature which is nonpolynomial in the chiral gauge prepotentials. We reconstruct the full nonchiral dependence of the supercurvature. We compute all tree-level MHV form factors via the LSZ redcution procedure with on-shell states made of the same supercurvature.
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Associativity is enough: an all-orders 2d chiral algebra for 4d form factors
Associativity and symmetry determine the all-loop 2d chiral algebra OPEs for twistorial self-dual Yang-Mills, with one coefficient, c, left only as an order-by-order solution.