Hidden spacetime symmetries and generalized holonomy in M-theory

被引：67

作者：

Duff, MJ ^{[1
]}

Liu, JT ^{[1
]}

机构：

[1] Univ Michigan, Dept Phys, Randall Lab, Michigan Ctr Theoret Phys, Ann Arbor, MI 48109 USA

来源：

NUCLEAR PHYSICS B | 2003年 / 674卷 / 1-2期

关键词：

D O I：

10.1016/j.nuclphysb.2003.09.019

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：

In M-theory vacua with vanishing 4-form F-(4), one can invoke the ordinary Riemannian holonomy H subset of SO(10, 1) to account for unbroken supersymmetries n = 1, 2, 3, 4, 6, 8, 16, 32. However, the generalized holonomy conjecture, valid for non-zero F-(4), can account for more exotic fractions of supersymmetry, in particular 16 < n < 32. The conjectured holonomies are given by H subset of G, where G are the generalized structure groups G = SO(d - 1, 1) x G(spacelike), G = ISO(d - 1) x G(null) and G = SO(d) x G(timelike) with 1 less than or equal to d < 11. For example, G(spacelike) = SO(16), G(null) = [SU(8) x U(1)] x R-56 and G(timelike) = SO*(16) when d = 3. Although extending spacetime symmetries, there is no conflict with the Coleman-Mandula theorem. The holonomy conjecture rules out certain vacua which are otherwise permitted by the supersymmetry algebra. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：217 / 230

页数：14