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

Physics – High Energy Physics – High Energy Physics - Theory

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v2: strongly revised version (especially in important section 5), notation unified, typos corrected, referrences added

Scientific paper

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 $\alpha $-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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