论文标题
最小的野外理论模型:手性较高的自旋重力
Minimal models of field theories: Chiral Higher Spin Gravity
论文作者
论文摘要
存在一类独特的局部较高自旋重力,其中散发出$ 4D $的无质量领域 - 手性更高的自旋重力。最初,它是在轻度尺度上配制的。我们将该理论的协变形式构建为直至NLO的自由差分代数,即运动方程级别。它还包含了最近发现的SDYM和SDGR较高自旋扩展的协变形式,以及SDYM和SDGR本身。从数学角度来看,结果等同于采用BV-BRST公式的射流空间扩展的最小模型(从$ l_ \ infty $ -Elgebras)进行较高的旋转重力,从而包含有关(Presymplectic Aksz)动作,相反,Anomalies等的信息,因此还包含信息。
There exists a unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity. Originally, it was formulated in the light-cone gauge. We construct a covariant form of this theory as a Free Differential Algebra up to NLO, i.e. at the level of equations of motion. It also contains the recently discovered covariant forms of the higher spin extensions of SDYM and SDGR, as well as SDYM and SDGR themselves. From the mathematical viewpoint the result is equivalent to taking the minimal model (in the sense of $L_\infty$-algebras) of the jet-space extension of the BV-BRST formulation of Chiral Higher Spin Gravity, thereby, containing also information about (presymplectic AKSZ) action, counterterms, anomalies, etc.