Superbranes and Super Born-Infeld Theories as Nonlinear Realizations

Abstract

We outline, on a few instructive examples, the characteristic features of the approach to superbranes and super Born-Infeld theories based on the concept of partial spontaneous breaking of global supersymmetry (PBGS). The examples include the N=1, D=4 supermembrane and the ``space-filling'' D2- and D3-branes. Besides giving a short account of the available results for these systems, we present some new developments. For the supermembrane we prove the equivalence of the equation of motion following from the off-shell Goldstone superfield action and the one derived directly from the nonlinear realizations formalism. We give a new derivation of the off-shell Goldstone superfield actions for the considered systems, using a universal procedure inspired by the relationship between linear and nonlinear realizations of PBGS.

16 pp., LaTeX, Contribution to Proceedings of the Seminar ``Classical and Quantum Integrable Systems'' (Protvino, Russia, 8-11 Jan. 2001)

References in corpus (5)

• N=2 and N=4 supersymmetric Born-Infeld theories from nonlinear realizations
• Codimension zero superembeddings
• Partial spontaneous breaking of two-dimensional supersymmetry
• The Space Filling Dirichlet 3-Brane in N=2, D=4 Superspace
• Linear and nonlinear realizations of superbranes

Cited by in corpus (18)

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• Gauge Fields, Nonlinear Realizations, Supersymmetry
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• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• On the universality of goldstino action
• Space-filling D3-brane within coset approach
• Non-BPS Brane Dynamics And Duality
• Goldstone Superfield Actions for Partially Broken AdS5 Supersymmetry
• Nonlinear $\mathcal{N}=2$ Supersymmetry and 3D Supersymmetric Born-Infeld Theory
• New Superembeddings for Type II Superstrings
• Modified mode-expansion on a BPS wall related to the nonlinear realization
• N=2 Super-Born-Infeld from Partially Broken N=3 Supersymmetry in d=4
• Nonlinear Realization and Weyl Scale Invariant p=2 Brane
• More on the universality of the Volkov-Akulov action under N = 1 nonlinear supersymmetry
• Dynamics of Weyl Scale Invariant non-BPS p=3 Branes
• On world-volume supersymmetry of supermembrane action in static gauge