On hidden symmetries of a super gauge theory and twistor string theory
On hidden symmetries of a super gauge theory and twistor string theory
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超规范理论和扭弦理论的隐对称性
DOI：
10.1088/1126-6708/2005/02/018
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发表时间：
2004
影响因子：
5.4
通讯作者：
Martin Wolf
中科院分区：
文献类型：
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作者：
Martin Wolf
利用超扭或对应讨论了广义≤4的扩展自对偶超Yang-Mills方程的无限维隐对称代数（以及无限数量的守恒非局部电荷）。在此基础上，通过对超扭转空间的增强，构造了描述无限集梯度阿贝尔对称的-扩展自对偶超Yang-Mills层次。我们还证明了以增强的超扭空间为目标流形的开放拓扑b模型可以描述这些层次。此外，通过Ward猜想的超对称扩展，这些层次将反过来简化为D < 4维的可积模型的超层次。
We discuss infinite-dimensional hidden symmetry algebras (and hence an infinite number of conserved nonlocal charges) of the -extented self-dual super Yang-Mills equations for general ≤ 4 by using the supertwistor correspondence. Furthermore, by enhancing the supertwistor space, we construct the -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.