标题： 相互作用的手征形式场理论和六维及更高维的$T\overline T$-类似流 显示英文标题

标题： Interacting Chiral Form Field Theories and $T\overline T$-like Flows in Six and Higher Dimensions

摘要： 在本文中，我们开始研究六维非线性手征二形式规范理论，作为由应力张量$T\overline T$类流动驱动的自由手征二形式规范理论的变形。 为了为这项研究奠定基础，我们详细阐述了对偶不变 p 形式理论的不同拉格朗日公式与不同维度中相应$T\overline T$类流动之间的关系。 为此，我们提出了一种新的公式，(i) 它是 Ivanov、Nurmagambetov 和 Zupnik (INZ) 在四维情况下的构造的推广，(ii) 在积分掉一个辅助自对偶场后会转化为 PST 公式。 我们通过澄清和利用其与 INZ 类公式以及所谓的“克隆”构造的关系，阐明了 PST 公式的时空协变性质。 显示英文摘要

摘要： In this paper we initiate the study of six-dimensional non-linear chiral two-form gauge theories as deformations of free chiral two-form gauge theories driven by stress-tensor $T\overline T$-like flows. To lay the background for this study, we elaborate on the relationship between different Lagrangian formulations of duality-invariant p-form theories and corresponding $T\overline T$-like flows in various dimensions. To this end we propose a new formulation which (i) is a generalization of the four-dimensional construction by Ivanov, Nurmagambetov and Zupnik (INZ) and (ii) turns into the PST formulation upon integrating out an auxiliary self-dual field. We elucidate space-time covariant properties of the PST formulation by clarifying and making use of its relation to the INZ-type formulation and to a so-called ``clone" construction.