On the road to N=2 supersymmetric Born-Infeld action

Abstract

We analyze the exact perturbative solution of N=2 Born-Infeld theory which is believed to be defined by Ketov's equation. This equation can be considered as a truncation of an infinite system of coupled differential equations defining Born-Infeld action with one manifest N=2 and one hidden N=2 supersymmetries. We explicitly demonstrate that infinitely many new structures appear in the higher orders of the perturbative solution to Ketov's equation. Thus, the full solution cannot be represented as a function depending on {\it a finite number} of its arguments. We propose a mechanism for generating the new structures in the solution and show how it works up to 18-th order. Finally, we discuss two new superfield actions containing an infinite number of terms and sharing some common features with N=2 supersymmetric Born-Infeld action.

8 pages, PACS: 11.30.Pb, 12.60.Jv

References in corpus (3)

• Towards the complete N=2 superfield Born-Infeld action with partially broken N=4 supersymmetry
• N=2 and N=4 supersymmetric Born-Infeld theories from nonlinear realizations
• Superbranes and Super Born-Infeld Theories from Nonlinear Realizations

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• Component $d=6$ Born-Infeld theory with $N=(2,0)\to N=(1,0)$ supersymmetry breaking
• Majorana Fermions, Supersymmetry Breaking, and Born-Infeld Theory