On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory

Details On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory On Hidden Symmetries of a Super Gauge Theory and Twistor String Theory

2004-12-15

arxiv.org/abs/hep-th/0412163v3

JHEP 0502:018,2005

Physics

High Energy Physics

High Energy Physics - Theory

v3: 1+68 pages, harvmac, typos fixed and one comment added

Scientific paper

10.1088/1126-6708/2005/02/018

We discuss infinite-dimensional hidden symmetry algebras (and hence an infinite number of conserved nonlocal charges) of the N-extented self-dual super Yang-Mills equations for general N\leq4 by using the supertwistor correspondence. Furthermore, by enhancing the supertwistor space, we construct the N-extended self-dual super Yang-Mills hierarchies, which describe infinite sets of graded Abelian symmetries. We also show that the open topological B-model with the enhanced supertwistor space as target manifold will describe the hierarchies. Furthermore, these hierarchies will in turn -- by a supersymmetric extension of Ward's conjecture -- reduce to the super hierarchies of integrable models in D<4 dimensions.

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