Twistor fishnets

Abstract

Four-dimensional conformal fishnet theory is an integrable scalar theory which arises as a double scaling limit of $\gamma$-deformed maximally supersymmetric Yang-Mills. We give a perturbative reformulation of $\gamma$-deformed super-Yang-Mills theory in twistor space, and implement the double scaling limit to obtain a twistor description of conformal fishnet theory. The conformal fishnet theory retains an abelian gauge symmetry on twistor space which is absent in space-time, allowing us to obtain cohomological formulae for scattering amplitudes that manifest conformal invariance. We study various classes of scattering amplitudes in twistor space with this formalism.

arXiv comment39 pages, 11 figures. v2: references added; v3: published version

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Cited by in corpus (7)

• Alternative formulations of the twistor double copy
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Higher-spin Yang-Mills, amplitudes and self-duality
• Massive Fishnets
• N=4 SYM Quantum Spectral Curve in BFKL regime
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• Regge amplitudes in Generalized Fishnet and Chiral Fishnet Theories