场论的极小模型：SDYM和SDGR
Minimal models of field theories: SDYM and SDGR
摘要：
存在一个自然的$L_\infty$ -代数或$Q$ -流形，它可以与任何（规范）场论相关联。微扰地，它可以通过将喷流空间BV-BRST公式后面的$L_\infty$ -代数减少到其极小模型来获得。我们明确地构造了自对偶杨-米尔斯理论和自对偶引力理论的极小模型，并将它们的运动方程表示为自由微分代数。极小模型恢复了场论的所有相关信息，例如作用、电荷、异常，可以根据相应的$Q$ -上同调来理解。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
