M5-膜的无张力极限及其玻色子部分的共形对称性
Tensionless limit of M5-brane and conformal symmetry of its bosonic body
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中文总结 AI 辅助
该研究得到M5-膜的无张力极限，证明其纯玻色子部分具有11维靶空间共形对称，静态规范下变为变形6维世界体积共形对称，横向涨落为零时约化为特定电动力学模型。
中文摘要 AI 辅助
我们得到了M理论5-膜作用量的无张力极限并讨论其性质。该极限的一致性要求M5-膜世界体积上的2-形式规范场的场强非退化且永不消失，同时该理论的诱导6维世界体积度规非退化，这与传统的无张力（零）p-膜不同。我们发现，无张力M5-膜作用量在作用于体超几何的超外尔对称下不变，而在纯玻色子情形下，该作用量在11维靶空间共形对称下不变，这是无张力玻色子膜的特征性质。在施加固定世界体积微分同胚的静态规范后，该11维共形对称变为变形的6维世界体积共形对称，其对世界体积坐标的作用包含依赖于场的项。当5-膜在体中的横向涨落为零时，该模型约化为Gibbons、West以及Townsend此前研究的共形非线性手征2-形式电动力学。
英文摘要
We obtain a tensionless limit of the M-theory 5-brane action and discuss its properties. The consistency of this limit requires that the field strength $H_3$ of the 2-form gauge field on the M5 brane worldvolume is non-vanishing and non-degenerate, so that one can also regard it as a strong $H_3$-field limit. The induced $6d$ worldvolume metric of this theory is non-degenerate in contrast to conventional tensionless (null) $p$-branes. We find that the tensionless M5-brane action is invariant under a super-Weyl symmetry acting on the bulk supergeometry, while in the purely bosonic case the action is invariant under an 11D target-space conformal symmetry, a property which is characteristic for the tensionless bosonic branes. Upon imposing a static gauge, which fixes worldvolume diffeomorphisms, this 11D conformal symmetry becomes a deformed 6d worldvolume conformal symmetry whose action on the worldvolume coordinates involves field dependent terms. When the transversal fluctuations of the 5-brane in the bulk are zero, the model reduces to the conformal non-linear chiral 2-form electrodynamics considered earlier by Gibbons and West, and by Townsend.
发表机构
- University of the Basque Country UPV/EHU（巴斯克国立大学）
- IKERBASQUE, Basque Foundation for Science（伊卡巴斯基克科学基金会）
- INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）
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