Nonlinear N=2 supersymmetry and 3D supersymmetric Born-Infeld theory

Dp-branes acquire effective nonlinear descriptions whose bosonic part is related to the Born-Infeld ac-tion. This nonlinearity has been proven to be a consequence of the partial N = 2 -> N = 1 supersymmetry breaking, originating from the solitonic nature of the branes. In this work, we focus on the effective descrip-tions of D2-branes. Using the Goldstone multiplet interpretation of the action and the method of nilpotent N = 2 superfields, we construct the 3D, N = 1 superspace effective action which makes the first super -symmetry manifest and realizes the second, spontaneously broken, supersymmetry nonlinearly. We show that there are two such supersymmetric extensions of the 3D Born-Infeld action which correspond to the dynamics of the 3D Maxwell-Goldstone multiplet and the 3D projection of the Tensor-Goldstone multiplet respectively. Moreover, we demonstrate that these results are derived by applying the constrained super -field approach on the N = 2, D = 3 vector and chiral multiplets after expanding them around a nontrivial vacuum. We find that these two descriptions are related by a duality transformation which results in the inversion of a dimensionless parameter. For both descriptions we derive the explicit bosonic and fermionic parts of the 3D super Born-Infeld action. Finally, consider the deformation of the Maxwell-Goldstone su-perspace action by the characteristic Chern-Simons-like, gauge invariant, mass term.(c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.

Automated summary

This paper investigates the effective descriptions of D2-branes and constructs the 3D superspace effective action using the Goldstone multiplet interpretation and the method of nilpotent N = 2 superfields. It is shown that there are two supersymmetric extensions of the 3D Born-Infeld action and they are related by a duality transformation.