D2-brane within coset approach

24th International Conference on Integrable Systems and Quantum symmetries

Burdik, .^1 ; Krivonos, S.^2

Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Prague, Czech Republic^1

Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna

141980, Russia^2

关键词: Bianchi identities;    Covariant;    Covariant derivatives;    Realization approaches;    Space filling;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012010/pdf
DOI  :  10.1088/1742-6596/804/1/012010

来源: IOP

【 摘 要 】

In this notes, we derive the component on-shell action of the space-filling D2-brane, i.e. N = 1, d = 3 supersymmetric Born-Infeld action within the nonlinear realization approach. The Bianchi identity admits direct covariantization with respect to the broken N = 1, d = 3 supersymmetry. In the corresponding on-shell component action all fermionic terms combine into covariant, with respect to broken supersymmetry, objects: covariant derivatives and fierbein and therefore the D2-brane component action has very simple form. Similarly to the cases of p-branes, it mimics the bosonic Born-Infeld action.