超回路空间

超回路空间中的单极

Monopoles in Superloop Space

本文用超圈空间形式分析了具有$\mathcal{N} =1$超对称性的四维规范理论。因此，我们将得到无限维超回路空间中的联络的表达式。然后，我们将使用这个联系来获得无限维超回路空间的曲率的表达式。我们还将证明这个曲率与时空中的比安奇恒等式成正比。因此，在没有一个曲率的情况下，这个曲率将消失。然而，如果超回路与一个椭圆的世界线相交，它不会消失，因为比安奇不会在那一点上保持不变。

Supersymmetric Duality in Deformed Superloop Space

In this paper, we will analyse the superloop space formalism for a four dimensional supersymmetric Yang-Mills theory in deformed superspace. We will deform the $\mathcal{N} =1$ superspace by imposing non-anticommutativity. This non-anticommutative deformation of the superspace will break half the supersymmetry of the original theory. So, this theory will have $\mathcal{N} =1/2$ supersymmetry. We will analyse the superloop space duality for this deformed supersymmetric Yang-Mills theory using the $\mathcal{N} =1/2$ superspace formalism. We will demonstrate that the sources in the original theor…

Supersymmetric Duality in Superloop Space

In this paper we constructed superloop space duality for a four dimensional supersymmetric Yang-Mills theory with $\mathcal{N} =1$ supersymmetry. This duality reduces to the ordinary loop space duality for the ordinary Yang-Mills theory. It also reduces to the Hodge duality for an abelian gauge theory. Furthermore, the electric charges, which are the sources in the original theory, appear as monopoles in the dual theory. Whereas, the magnetic charges, which appear as monopoles in the original theory, become sources in the dual theory.

超对称辛几何与非线性西格玛模型

Symplectic Geometry of Supersymmetry and Nonlinear Sigma Model

最近有人认为，庞加莱超对称场论承认一个潜在的回路空间哈密顿（辛）结构。这里将在一般$N=1$超多重峰的水平上建立这一点。特别是，我们主张使用超循环空间，并解释使用非常规辅助领域的必要性。作为一个例子，我们考虑非线性$σ$模型。由于四次费米子项，我们得出结论，超回路空间变量的使用是必要的行动有一个哈密顿回路空间的解释。