A superconnection for Riemannian gravity as spontaneously broken SL(4,R) gauge theory

被引：10
作者：
Ne'eman, Y [1 ]
机构：
[1] Tel Aviv Univ, Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
[2] Univ Texas, Ctr Particle Phys, Austin, TX 78712 USA
来源：
PHYSICS LETTERS B | 1998年 / 427卷 / 1-2期
关键词：
D O I：
10.1016/S0370-2693(98)00326-8
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A superconnection is a supermatrix whose even part contains the gauge-potential one-forms of a local gauge group, while the odd parts contain the (0-form) Higgs fields. We demonstrate that the simple supergroup (P) over bar(4, R) (rank = 3) in Kac' classification (even subgroup <(SL)over bar>(4,R)) provides for the most economical spontaneous breaking of <(SL)over bar>(4,R) as gauge group, leaving just local <(SO)over bar>(1,3) unbroken. As a result, post-Riemannian SKY gravity is made to yield Einstein's theory as a low-energy (longer range) effective theory. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：19 / 25
页数：7
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