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arXiv · 1908.11220

Twistor fishnets

Tim Adamo·Sumer Jaitly
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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.

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Tim Adamo, Sumer Jaitly. 2019-08-29. Twistor fishnets. https://doi.org/10.1088/1751-8121/ab5f88

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