本构关系、离壳对偶转动和Born-Infeld理论的超几何形式
Constitutive relations, off shell duality rotations and the hypergeometric form of Born-Infeld theory
摘要：
我们回顾了具有电磁对偶旋转对称性的电磁学非线性和高阶导数理论的等价公式。我们研究特别是壳和壳外配方的这种对称性，在行动的功能以及运动方程的水平。证明了导致Born-Infeld非线性电磁学的作用泛函是超几何函数的猜想，该作用泛函是对偶旋转不变量，且已知是一个四阶代数方程的根.
英文摘要：
We review equivalent formulations of nonlinear and higher derivatives theories of electromagnetism exhibiting electric-magnetic duality rotations symmetry. We study in particular on shell and off shell formulations of this symmetry, at the level of action functionals as well as of equations of motion. We prove the conjecture that the action functional leading to Born-Infeld nonlinear electromagnetism, that is duality rotation invariant off shell and that is known to be a root of an algebraic equation of fourth order, is a hypergeometric function.
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