Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields
Abstract
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. We also suggest a new method of recursive computation of the N=2 Born-Infeld action in the standard formulation, based solely on the nonlinear realization of the N=4 central charge on the N=2 superfield strengths W, \bar W.
Cite
@article{arxiv.1312.5687,
title = {Self-Dual N=2 Born-Infeld Theory Through Auxiliary Superfields},
author = {E. A. Ivanov and B. M. Zupnik},
journal= {arXiv preprint arXiv:1312.5687},
year = {2015}
}
Comments
1 + 31 pages, substantial revision: an important Note and Appendix C added; section 2 corrected and expanded; some typos, eq. (5.13) and Appendix B corrected