论文标题

关于(理性的)HORI地图的简短说明

A very short note on the (rational) graded Hori map

论文作者

Fiorenza, Domenico, Coloma, Mattia, Landi, Eugenio

论文摘要

Han-Mathai最近在T偶尔的背景下作为$ \ Mathbb {Z} $分级转换引入了级别的Hori地图,其均匀的组件是与基本T对T-Dual of T-Dual封闭3型成型的基本倍数相关的扭曲共同体中的Hori-fourter transforms。我们展示了在T偶偶(T偶)的合理同态理论近似中,该图自然而然地实现为Pull-Iso-Push变换,其中同构部分对应于左侧和与T多数配置相关的左侧和右Gerbes之间的规范等效性。

The graded Hori map has been recently introduced by Han-Mathai in the context of T-duality as a $\mathbb{Z}$-graded transform whose homogeneous components are the Hori-Fourier transforms in twisted cohomology associated with integral multiples of a basic pair of T-dual closed 3-forms. We show how in the rational homotopy theory approximation of T-duality, such a map is naturally realised as a pull-iso-push transform, where the isomorphism part corresponds to the canonical equivalence between the left and the right gerbes associated with a T-duality configuration.

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