U-geometry: SL(5)

被引：42

作者：

Park, Jeong-Hyuck ^{[1
]}

Suh, Yoonji ^{[1
]}

机构：

[1] Sogang Univ, Dept Phys, Seoul 121742, South Korea

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 04期

基金：

新加坡国家研究基金会;

关键词：

Differential and Algebraic Geometry; M-Theory; String Duality; GENERALIZED GEOMETRY; DUALITY; FORMULATION; DYNAMICS;

D O I：

10.1007/JHEP04(2013)147

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：

Recently Berman and Perry constructed a four-dimensional M-theory effective action which manifests SL(5) U-duality. Here we propose an underlying differential geometry of it, under the name 'SL(5) U-geometry' which generalizes the ordinary Riemannian geometry in an SL(5) compatible manner. We introduce a 'semi-covariant' derivative that can be converted into fully covariant derivatives after anti-symmetrizing or contracting the SL(5) vector indices appropriately. We also derive fully covariant scalar and Ricci-like curvatures which constitute the effective action as well as the equation of motion.

引用

页数：24

共 61 条

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