Abstract
We present a twistor space that describes super null-lines on six-dimensional \( \mathcal{N} = \left( {1,1} \right) \) superspace. We then show that there is a one-to-one correspondence between holomorphic vector bundles over this twistor space and solutions to the field equations of \( \mathcal{N} = \left( {1,1} \right) \) super Yang-Mills theory. Our constructions naturally reduce to those of the twistorial description of maximally supersymmetric Yang-Mills theory in four dimensions.
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Sämann, C., Wimmer, R. & Wolf, M. A twistor description of six-dimensional \( \mathcal{N} = \left( {1,1} \right) \) super Yang-Mills theory. J. High Energ. Phys. 2012, 20 (2012). https://doi.org/10.1007/JHEP05(2012)020
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DOI: https://doi.org/10.1007/JHEP05(2012)020