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Yangian symmetry for bi-scalar loop amplitudes

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...

\( \mathcal{N} \) = 4 super-Yang-Mills in LHC superspace part II: non-chiral correlation functions of the stress-tensor multiplet

We study the multipoint super-correlation functions of the full non-chiral stress-tensor multiplet in \( \mathcal{N} \) = 4 super-Yang-Mills theory in the Born approximation. We derive effective supergraph Feynman rules for them. Surprisingly, the Feynman rules for the non-chiral correlators are obtained from those for the chiral correlators by a simple Grassmann shift of the...

\( \mathcal{N} \) = 4 super-Yang-Mills in LHC superspace part I: classical and quantum theory

We present a formulation of the maximally supersymmetric \( \mathcal{N} \) = 4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables. They parametrize a two-sphere and allow us to handle efficiently infinite towers of higher-spin auxiliary fields defined...

All three-loop four-point correlators of half-BPS operators in planar \( \mathcal{N} \) = 4 SYM

, CNRS 2 Physics Department, Theory Unit , CERN 3 Dmitry Chicherin 4 School of Physics & Astronomy, University of Southampton 5 Mathematics Department, Durham University , Science Laboratories 6 James

Bootstrapping correlation functions in \( \mathcal{N}=4 \) SYM

Universitaire de France 1 Zum großen Windkanal 6 , Berlin, 12489 Germany 2 South Rd , Durham, DH1 3LE United Kingdom 3 Universit ́e de Savoie , CNRS 4 Dmitry Chicherin 5 Physics Department, Theory Unit , CERN 6

Correlation functions of the chiral stress-tensor multiplet in \( \mathcal{N}=4 \) SYM

We give a new method for computing the correlation functions of the chiral part of the stress-tensor supermultiplet that relies on the reformulation of \( \mathcal{N}=4 \) SYM in twistor space. It yields the correlation functions in the Born approximation as a sum of Feynman diagrams on twistor space that involve only propagators and no integration vertices. We use this unusual...