The geometry of pure spinor space

被引：8

作者：

Cederwall, Martin ^{[1
]}

机构：

[1] Chalmers Univ Technol, SE-41296 Gothenburg, Sweden

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 01期

关键词：

Extended Supersymmetry; Differential and Algebraic Geometry; SUPERGRAVITY;

D O I：

10.1007/JHEP01(2012)150

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We investigate the complex geometry of D = 10 pure spinor space. The Kahler structure and the corresponding metric giving rise to the desired Calabi-Yau property are determined, and an explicit covariant expression for the Laplacian is given. The metric is not that of a cone obtained by embedding pure spinor space in a flat space of unconstrained spinors. Some directions for future studies, concerning regularisation and generalisation to eleven dimensions, are briefly discussed.

引用

页数：11

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