Nonlinear instantons from supersymmetric p-branes
Nonlinear instantons from supersymmetric p-branes
复制标题
超对称 p 膜的非线性瞬子
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Strominger
中科院分区：
文献类型：
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作者：
M. Mariño;R. Minasian;G. Moore;A. Strominger
使用 kappa 对称世界体积作用分析了具有非零 B 场的一般超对称背景中具有非零规范场强度的 II 型 D 膜的超对称构型。发现在四维或更高维度中，规范场的通常瞬子方程会出现非线性变形。变形由 B 场的拓扑数据、背景几何形状和膜包裹的周期参数化。在适当的维度、限制和设置下，这些方程可简化为最近在非交换几何背景下发现的变形瞬子方程以及基于 Bott-Chern 形式的拉格朗日方程。我们进一步考虑由 M5 膜组成的瞬子，包裹具有非零三形式场强的 Calabi-Yau 空间。结果表明，三型瞬子方程与 Kodaira-Spencer 方程相关。
Supersymmetric configurations of type II D-branes with nonzero gauge field strengths in general supersymmetric backgrounds with nonzero B fields are analyzed using the kappa-symmetric worldvolume action. It is found in dimension four or greater that the usual instanton equation for the gauge field obtains a nonlinear deformation. The deformation is parameterized by the topological data of the B-field, the background geometry and the cycle wrapped by the brane. In the appropriate dimensions, limits and settings these equations reduce to deformed instanton equations recently found in the context of noncommutative geometry as well as those following from Lagrangians based on Bott-Chern forms. We further consider instantons comprised of M5-branes wrapping a Calabi-Yau space with non-vanishing three-form field strengths. It is shown that the instanton equations for the three-form are related to the Kodaira-Spencer equations.