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arXiv 2106.07547hep-thgr-qchep-ph
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ModMax与Susy相遇

ModMax meets Susy

Igor Bandos, Kurt Lechner, Dmitri Sorokin, Paul K. Townsend

摘要:

我们给出了一个处方N=1超对称化的任何(四维)非线性电动力学理论的拉格朗日密度满足凸性条件,我们涉及到半经典的幺正性。我们将其应用到一个参数的ModMax扩展麦克斯韦电动力学,既保持电磁对偶性和共形不变性,其Born-Infeld般的推广,证明对偶不变性被保存。我们还建立了superModMax理论的超共形不变性,通过证明它与超引力的耦合是超外尔不变的。在任何超对称非线性电动力学理论中出现的高导数光场相互作用被一个可逆的非线性超场重新定义所消除。

英文摘要:

We give a prescription for N=1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the one-parameter ModMax extension of Maxwell electrodynamics that preserves both electromagnetic duality and conformal invariance, and its Born-Infeld-like generalization, proving that duality invariance is preserved. We also establish superconformal invariance of the superModMax theory by showing that its coupling to supergravity is super-Weyl invariant. The higher-derivative photino-field interactions that appear in any supersymmetric nonlinear electrodynamics theory are removed by an invertible nonlinear superfield redefinition.

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