论文标题
超对称杨的分类学 - 米尔斯理论
A Taxonomy of Twists of Supersymmetric Yang--Mills Theory
论文作者
论文摘要
我们对超对称的杨的曲折进行了完整的分类 - 尺寸为$ 2 \ leq n \ leq 10 $。我们使用BV形式主义从经典地制定超对称的杨理论，然后使用$ L_ \ infty $代数的语言构建超对称代数的动作。对于在自旋组和R-符号组的作用下，对于超对称代数的平方零增压空间中的每个轨道，我们对相应的扭曲理论进行了描述。这些曲折可以用混合的全体形态型版本来描述Chern-Simons和BF理论。
We give a complete classification of twists of supersymmetric Yang--Mills theories in dimensions $2\leq n \leq 10$. We formulate supersymmetric Yang--Mills theory classically using the BV formalism, and then we construct an action of the supersymmetry algebra using the language of $L_\infty$ algebras. For each orbit in the space of square-zero supercharges in the supersymmetry algebra, under the action of the spin group and the group of R-symmetries, we give a description of the corresponding twisted theory. These twists can be described in terms of mixed holomorphic-topological versions of Chern--Simons and BF theory.
