Superbranes and Super Born–Infeld Theories as Nonlinear Realizations

Superbranes and Super Born–Infeld Theories as Nonlinear Realizations
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作为非线性实现的超膜和超玻恩-因费尔德理论

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发表时间:
2001
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通讯作者:
E. Ivanov
E. Ivanov
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作者:
E. Ivanov

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我们使用一些有启发性的例子来概述超膜方法和基于整体超对称性部分自发破缺(PBGS)概念的超玻恩-因费尔德理论的特征。示例包括 N=1、D=4 超膜以及“空间填充”D2 和 D3 膜。除了简要介绍这些系统的可用结果之外,我们还介绍了一些新的进展。对于超膜,我们证明了由离壳戈德斯通超场作用得出的运动方程与直接从非线性实现形式主义导出的运动方程等​​效。我们使用受 PBGS 线性和非线性实现之间关系启发的通用程序来获得这些系统的离壳 Goldstone 超场作用的新推导。
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.