Abstract:
We use a few instructive examples to outline 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. In addition to a short account of the available results for these systems, we present some new developments. For the supermembrane, we prove that the equation of motion following from the off-shell Goldstone superfield action is equivalent to the one derived directly from the nonlinear-realization formalism. We use a universal procedure inspired by the relation between linear and nonlinear realizations of the PBGS to obtain a new derivation of the off-shell Goldstone superfield actions for these systems.
Citation:
E. A. Ivanov, “Superbranes and Super Born–Infeld Theories as Nonlinear Realizations”, TMF, 129:2 (2001), 278–297; Theoret. and Math. Phys., 129:2 (2001), 1543–1557
Buchbinder I.L. Ivanov E.A. Pletnev N.G., “Superfield approach to the construction of effective action in quantum field theory with extended supersymmetry”, Phys. Part. Nuclei, 47:3 (2016), 291–369
Bellucci S., Kozyrev N., Krivonos S., Sutulin A., “Space-Filling D3-Brane Within Coset Approach”, J. High Energy Phys., 2015, no. 8, 094
Liu L.-X., “Dynamics of the Weyl scale invariant non-BPS p=3 brane”, Phys Atomic Nuclei, 74:12 (2011), 1684–1689
Kuzenko S.M., Tyler S.J., “On the Goldstino actions and their symmetries”, Journal of High Energy Physics, 2011, no. 5, 055
Ivanov, EA, “Supersymmetry in superspace: 35 years of the research activity in LTP”, Physics of Particles and Nuclei, 40:3 (2009), 291
Shima, K, “More on the universality of the Volkov-Akulov action under N=1 nonlinear supersymmetry”, Physics Letters B, 598:1–2 (2004), 132
Hatanaka, T, “On the universality of Goldstino action”, Physics Letters B, 580:3–4 (2004), 265
De C.astro A., Quevedo L., Restuccia A., “N=2 super-Born-Infeld from partially broken N=3 supersymmetry in d=4”, Journal of High Energy Physics, 2004, no. 6, 055