Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields

Understand

There is an evidence that the N=2 Born-Infeld theory with spontaneously broken N=4 supersymmetry exhibits self-duality.

• We perform a further check of this hypothesis by constructing a new representation for the N=2 Born-Infeld action through the auxiliary chiral superfield U.
• In such a formulation, self-duality is equivalent to U(1) invariance of the U interaction.
• We explicitly calculate the auxiliary interaction up to the 10th order and show its U(1) duality invariance, thus proving that the original action is self-dual to the same order.