G structures, fluxes, and calibrations in M theory -: art. no. 085014

被引：123

作者：

Martelli, D ^{[1
]}

Sparks, J ^{[1
]}

机构：

[1] Univ London, Queen Mary, Dept Phys, London E1 4NS, England

来源：

PHYSICAL REVIEW D | 2003年 / 68卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.68.085014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the most general supersymmetric warped M-theory backgrounds with a non-trivial G flux of the type R(1,2)xM(8) and AdS(3)xM(8). We give a set of necessary and sufficient conditions for preservation of supersymmetry which are phrased in terms of G structures and their intrinsic torsion. These equations may be interpreted as calibration conditions for a static "dyonic" M-brane, that is, an M5-brane with a self-dual three-form turned on. When the electric flux is turned off we obtain the supersymmetry conditions and non-linear PDEs describing M5-branes wrapped on associative and special Lagrangian three-cycles in manifolds with G(2) and SU(3) structures, respectively. As an illustration of our formalism, we recover the 1/2 BPS dyonic M-brane, and also construct some new examples.

引用

页数：19

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