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AbstractWe establish an all-loop conformal Yangian symmetry for the full set of planar amplitudes in the recently proposed integrable bi-scalar field theory in four dimensions. This chiral theory is a particular double scaling limit of γ-twisted weakly coupled \( \mathcal{N}=4 \) SYM theory. Each amplitude with a certain order of scalar particles is given by a single fishnet...

Form factors of composite operators in the SL(2) sector of \( \mathcal{N} \) = 4 SYM theory are studied up to two loops via the on-shell unitarity method. The non-compactness of this subsector implies the novel feature and technical challenge of an unlimited number of loop momenta in the integrand’s numerator. At one loop, we derive the full minimal form factor to all orders in...

We compute the two-loop minimal form factors of all operators in the SU(2) sector of planar \( \mathcal{N}=4 \) SYM theory via on-shell unitarity methods. From the UV diver-gence of this result, we obtain the two-loop dilatation operator in this sector. Furthermore, we calculate the corresponding finite remainder functions. Since the operators break the supersymmetry, the...

We propose a new method for the computation of quantum three-point functions for operators in \( \mathfrak{s}\mathfrak{u} \)(2) sectors of \( \mathcal{N} \) = 4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and long-range spin chains. This transformation can be traced back to a combination of boost operators and...