
TL;DR
This paper reformulates four-dimensional conformal fishnet theory within twistor space, providing new cohomological methods for calculating scattering amplitudes that highlight its conformal symmetry.
Contribution
It introduces a twistor space reformulation of the conformal fishnet theory derived from gamma-deformed super-Yang-Mills, enabling novel amplitude computations.
Findings
Cohomological formulae for scattering amplitudes
Manifestation of conformal invariance in twistor space
Retention of abelian gauge symmetry on twistor space
Abstract
Four-dimensional conformal fishnet theory is an integrable scalar theory which arises as a double scaling limit of -deformed maximally supersymmetric Yang-Mills. We give a perturbative reformulation of -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.
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