论文标题
最小的现场理论模型：SDYM和SDGR
Minimal models of field theories: SDYM and SDGR
论文作者
论文摘要
存在一个天然的$ l_ \ infty $ -Algebra或$ Q $ -Manifold，它可以与任何（量规）田间理论相关联。在扰动上，可以通过将$ L_ \ infty $ - 代数在Jet Space Bv-Brst公式后面的$ L_ \ Infty $ -Algebra中获得，从而获得其最小模型。我们明确地构建了自动划单膜和自动重力理论的最小模型，这也代表了它们作为自由差分代数的运动方程。最小模型恢复了有关现场理论的所有相关信息，例如可以从相应的$ Q $ - 元素学来理解动作，费用，异常。
There exists a natural $L_\infty$-algebra or $Q$-manifold that can be associated to any (gauge) field theory. Perturbatively, it can be obtained by reducing the $L_\infty$-algebra behind the jet space BV-BRST formulation to its minimal model. We explicitly construct the minimal models of self-dual Yang-Mills and self-dual gravity theories, which also represents their equations of motion as Free Differential Algebras. The minimal model regains all relevant information about the field theory, e.g. actions, charges, anomalies, can be understood in terms of the corresponding $Q$-cohomology.
