G structures, fluxes and calibrations in M theory
G structures, fluxes and calibrations in M theory
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M 理论中的 G 结构、通量和校准
DOI：
10.1103/physrevd.68.085014
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发表时间：
2003
影响因子：
5
通讯作者：
J. Sparks
中科院分区：
文献类型：
--
作者：
D. Martelli;J. Sparks
研究了具有R^{1,2} x M_8和AdS_3 x M_8型非平凡g通量的最一般超对称翘曲m理论背景。给出了用g结构及其本征扭转表述的保持超对称的一组充分必要条件。这些方程可以解释为静态“动”m膜的标定条件，即具有自对偶三形式开启的m5膜。当电通量关闭时，我们分别得到了G_2和SU(3)结构流形中包裹在结合拉格朗日三环和特殊拉格朗日三环上的m5膜的超对称条件和非线性偏微分方程。为了说明我们的形式，我们恢复了1/2-BPS动态m膜，并构造了一些新的例子。
We study the most general supersymmetric warped M-theory backgrounds with non-trivial G-flux of the type R^{1,2} x M_8 and AdS_3 x M_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 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.