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

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arxiv hep-th/0406251 v3 pith:IXKPO36J submitted 2004-06-27 hep-th

classification hep-th
keywords affineactionambitwistorgroupleftrightspacealpha
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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 $\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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