标题： 一个关于手征形式划分函数的路径积分 显示英文标题

标题： A Path Integral for the Chiral-Form Partition Function

摘要： 从Sen[1,2]最近提出的动作出发，我们利用路径积分表述计算了二维 torus 上紧致手征玻色子的配分函数。关键的是，我们使用了一种源自物理时空度规复变形的维克旋转过程。这直接重现了包括 θ 函数一般特性在内的预期结果。我们还给出了六维手征 2-形式势的结果，该结果可以轻松推广到 4k+2 维。 显示英文摘要

摘要： Starting from the recent action proposed by Sen [1,2], we evaluate the partition function of the compact chiral boson on a two-dimensional torus using a path-integral formulation. Crucially, we use a Wick-rotation procedure obtained from a complex deformation of the physical spacetime metric. This directly reproduces the expected result including general characteristics for the theta functions. We also present results for the chiral 2-form potential in six dimensions which can be readily extended to 4k+2 dimensions.