论文标题
有关手性更高自旋重力和凸几何形状的更多信息
More on Chiral Higher Spin Gravity and Convex Geometry
论文作者
论文摘要
最近，一类独特的局部较高自旋重力，具有$ 4D $的传播无质量田地 - 手性较高的自旋重力 - 在运动方程级别以扁平和$（a）ds_4 $ spaceTime的协变。我们展开相应的同源扰动理论，以明确获得所有相互作用顶点。在适当更改变量后，顶点揭示了显着的简单性。与形式定理类似，$ a_ \ infty/l_ \ infty $多线性产品可以表示为在配置空间上的积分，在我们的情况下，这是凸多边形的空间。 $ a_ \ infty $ - 代数的手性理论是前加拉比Yau类型的。结果，运动方程式具有泊松西格玛模型形式。
Recently, a unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was given a covariant formulation both in flat and $(A)dS_4$ spacetimes at the level of equations of motion. We unfold the corresponding homological perturbation theory as to explicitly obtain all interaction vertices. The vertices reveal a remarkable simplicity after an appropriate change of variables. Similarly to formality theorems the $A_\infty/L_\infty$ multi-linear products can be represented as integrals over a configuration space, which in our case is the space of convex polygons. The $A_\infty$-algebra underlying Chiral Theory is of pre-Calabi-Yau type. As a consequence, the equations of motion have the Poisson sigma-model form.
