University of Surrey

Test tubes in the lab Research in the ATI Dance Research

(Weak) G_2 Holonomy from Self-duality, Flux and Supersymmetry

Bilal, A, Derendinger, J-P and Sfetsos, K (2001) (Weak) G_2 Holonomy from Self-duality, Flux and Supersymmetry Nucl.Phys. B, 628. pp. 112-132.

Full text not available from this repository.

Abstract

The aim of this paper is two-fold. First, we provide a simple and pedagogical discussion of how compactifications of M-theory or supergravity preserving some four-dimensional supersymmetry naturally lead to reduced holonomy or its generalization, reduced weak holonomy. We relate the existence of a (conformal) Killing spinor to the existence of certain closed and co-closed p-forms, and to the metric being Ricci flat or Einstein. Then, for seven-dimensional manifolds, we show that octonionic self-duality conditions on the spin connection are equivalent to G_2 holonomy and certain generalized self-duality conditions to weak G_2 holonomy. The latter lift to self-duality conditions for cohomogeneity-one spin(7) metrics. To illustrate the power of this approach, we present several examples where the self-duality condition largely simplifies the derivation of a G_2 or weak G_2 metric.

Item Type: Article
Authors :
NameEmailORCID
Bilal, AUNSPECIFIEDUNSPECIFIED
Derendinger, J-PUNSPECIFIEDUNSPECIFIED
Sfetsos, Kk.sfetsos@surrey.ac.ukUNSPECIFIED
Date : 29 November 2001
Identification Number : https://doi.org/10.1016/S0550-3213(02)00042-1
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:26
Last Modified : 17 May 2017 12:26
URI: http://epubs.surrey.ac.uk/id/eprint/835349

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800