Generalized instantons in N=4 super Yang-Mills theory and spinorial geometry

作者：Detournay Stephane^*; Klemm Dietmar; Pedroli Carlo

来源：Journal of High Energy Physics, 2009, 2009(10): 030.

DOI：10.1088/1126-6708/2009/10/030

• Supersymmetric gauge theory
• Solitons Monopoles and Instantons
• AdS-CFT Correspondence

Using spinorial geometry techniques, we classify the supersymmetric solutions of euclidean N = 4 super Yang-Mills theory. These backgrounds represent generalizations of instantons with nontrivial scalar fields turned on, and satisfy some constraints that bear a similarity with the Hitchin equations, and contain the Donaldson equations as a special subcase. It turns out that these constraints can be obtained by dimensional reduction of the octonionic instanton equations, and may be rephrased in terms of a selfduality-like condition for a complex connection. We also show that the supersymmetry conditions imply the equations of motion only partially.

• 出版日期2009-10
• 单位中国科学院理论物理研究所