The Structure of Maximally Supersymmetric Yang-Mills Theory: Constraining Higher-Order Corrections
The Structure of Maximally Supersymmetric Yang-Mills Theory: Constraining Higher-Order Corrections
复制标题
最大超对称杨-米尔斯理论的结构：约束高阶修正
DOI：
10.1088/1126-6708/2001/06/034
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发表时间：
2001
影响因子：
5.4
通讯作者：
D. Tsimpis
中科院分区：
文献类型：
--
作者：
M. Cederwall;B. Nilsson;D. Tsimpis
我们解决了超空间比安奇身份的10维超对称杨米尔斯理论，而不施加任何形式的限制，除了标准的常规。这样，我们得到一组代数条件的某些领域，在壳理论中被构造为复合的物理领域。因此，任何一种在超对称和某些阿贝尔或非阿贝尔规范对称下保持不变的十维理论都必须满足这些条件。变形的普通SYM理论（以及字段）被确定为一定的旋上同调的元素，控制字段的重新定义和物理相关的高阶校正和那些可移动的字段重新定义之间的区别。导出的条件严重限制了涉及F2能级项加上高阶修正的理论，例如那些从开弦导出的D膜上的有效规范理论。
We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on certain fields which in the on-shell theory are constructed as composite ones out of the physical fields. These conditions must hence be satisfied by any kind of theory in ten dimensions invariant under supersymmetry and some, abelian or non-abelian, gauge symmetry. Deformations of the ordinary SYM theory (as well as the fields) are identified as elements of a certain spinorial cohomology, giving control over field redefinitions and the distinction between physically relevant higher-order corrections and those removable by field redefinitions. The conditions derived severely constrain theories involving F2-level terms plus higher-order corrections, as for instance those derived from open strings as effective gauge theories on D-branes.