arXiv 2301.006862023-01hep-th

有质量超膜的超对称代数

Supersymmetric algebra of the massive supermembrane

M. P. Garcia del Moral, P. Leon, A. Restuccia

备注：: 10 pages, 4 figures
DOI：: 10.1016/j.physletb.2023.137754

阅读 PDF

arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文推导了有质量超膜超对称代数的显式表达式，通过亏格二黎曼面上的超膜极限理论，确定了所有表面项与哈密顿量，并讨论了保面积微分同胚对称性，指出仅保留抛物线型$Sl(2,\mathbb{Z})$离散对称性。

摘要：

在本文中，我们获得了与最近提出的有质量超膜相关的超对称代数的显式表达式，包括所有表面项。我们将该理论表述为亏格二紧致黎曼面上超膜的极限，即当其中一个环柄变成附着于环面的弦时。该表述简化为带“弦尖刺”（在\cite{dwln}的意义上）的穿孔环面上的超膜，该弦尖刺附着于环面。在此极限下，我们确定了代数的所有表面项，并给出了与先前表述一致的哈密顿量的显式表达式。此外，还讨论了保面积微分同胚（连通和非连通于恒等元）下的对称性。仅保留了抛物线型$Sl(2,\mathbb{Z})$离散对称性。

英文摘要：

In this paper, we obtain the explicit expression of the supersymmetric algebra associated with the recently proposed massive supermembrane including all surface terms. We formulate the theory as the limit of a supermembrane on a genus-two compact Riemann surface when one of the handles becomes a string attached to a torus. The formulation reduces to a supermembrane on a punctured torus with a "string spike" (in the sense of \cite{dwln}), attached to it. In this limit, we identify all surface terms of the algebra and give the explicit expression of the Hamiltonian in agreement with the previous formulation of it. The symmetry under area preserving diffeomorphisms, connected and nonconnected to the identity, is also discussed. Only parabolic $Sl(2,\mathbb{Z})$ discrete symmetries are preserved.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

AI总结：

摘要：

英文摘要：

相关论文