We study the linearly-realised worldsheet supersymmetries in the ``massive''type II light-cone actions for pp-wave backgrounds. The pp-waves have have16+N_sup Killing spinors, comprising 16 ``standard'' Killing spinors that occurin any wave background, plus N_sup ``supernumerary'' Killing spinors (0\leN_sup \le 16) that occur only for special backgrounds. We show that only thesupernumerary Killing spinors give rise to linearly-realised worldsheetsupersymmetries after light-cone gauge fixing, while the 16 standard Killingspinors describe only non-linearly realised inhomogeneous symmetries. We alsostudy the type II actions in the physical gauge, and we show that although inthis case the actions are not free, there are now linearly-realisedsupersymmetries coming both from the standard and the supernumerary Killingspinors. In the physical gauge, there are no mass terms for any worldsheetdegrees of freedom, so the masses appearing in the light-cone gauge may beviewed as gauge artefacts. We obtain type IIA and IIB supergravity solutionsdescribing solitonic strings in pp-wave backgrounds, and show how these arerelated to the physical-gauge fundamental string actions. We study thesupersymmetries of these solutions, and find examples with various numbers ofKilling spinors, including total numbers that are odd.
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机译：我们研究了pp波背景下``大规模''II型光锥动作中线性实现的世界表超对称性。 pp波具有16 + N_sup个Killing旋子，包括在任何波背景中出现的16个``标准''Killing旋子，以及仅在特殊背景下出现的N_sup个``超数量''Killing旋子（0 \ leN_sup \ le 16）。我们表明，只有超数Killing旋子在光锥测量仪固定后会产生线性实现的worldsheet超对称性，而16个标准的Killingspinors仅描述了非线性实现的非均匀对称性。我们还研究了物理量规中的II类动作，并且我们表明，尽管在这种情况下动作不是免费的，但是现在存在线性实现的超对称性，它们来自标准和多余的Killingspinor。在物理量规中，对于任何世界表的自由度都没有质量项，因此可以将视锥量规中出现的质量视为量规伪像。我们获得了描述pp波背景中的孤子弦的IIA和IIB型超重力解，并显示了它们与物理量规基本弦作用之间的关系。我们研究了这些解决方案的超对称性，并找到了具有各种杀戮棘刺数量（包括奇数总数）的示例。
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