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The affine ambitwistor space as the moduli space of SUYM in $AdS_5\otimes S^5$

Bo-Yu Hou·Bo-Yuan Hou·Xiao-Hui Wang·Chuan-Hua Xiong·Rui-Hong Yue
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Abstract

By extending the dressing symmetric action of IIB string in $AdS_5\times S^5$ to the $D_3$ brane, we find a gauged WZW action of Higgs Yang-Mills field including the 2-cocycle of axially anomaly. The left and right twistor structure of left and right $α$-planes glue into an ambitwistor. The symmetry group of Nahm equations is central extended to an affine group, thus we explain why the spectral curve is given by affine Toda.

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Bo-Yu Hou, Bo-Yuan Hou, Xiao-Hui Wang, Chuan-Hua Xiong, Rui-Hong Yue. 2006-05-30. The affine ambitwistor space as the moduli space of SUYM in $AdS_5\otimes S^5$. https://arxiv.org/abs/hep-th/0406251

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