弦荷密度/比特线对应在II型超引力中的T-对偶性
T-duality of string charge density/bit threads correspondence in type II supergravity
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中文总结 AI 辅助
本文研究II型超引力中弦荷密度/比特线对应的阿贝尔T-对偶性，证明对偶下熵重现且相关不变量保持，为该对应提供非平凡检验并推广至缠绕膜流。
中文摘要 AI 辅助
本文研究了十维II型超引力中弦荷密度/比特线对应的阿贝尔T-对偶性。沿公共紧致圆的T-对偶将IIB型F1-NS5-P背景映射为IIA型P-NS5-F1背景，其中卷绕荷与动量荷互换。径向F1源仍为F1源，其投影荷密度给出比特线流，该流的最大通量重现黑洞熵。相同的对偶将D1-D5-P映射为D0-D4-F1。在此情形下，径向D1源变为缠绕在对偶圆上的D2源。将该空间双矢量与对偶圆上的归一化闭一形式缩并，得到守恒的有效径向流，其最大通量同样重现熵。尽管局部度规、膨胀子、源流和流范数发生变化，膨胀子加权的横向面积密度和积分最大通量保持不变。这些结果为该对应提供了非平凡的T-对偶检验，并将其从弦流推广到可约化为弦状流的缠绕膜流。
英文摘要
In this paper, we study Abelian T-duality of the string charge density/bit threads correspondence in ten-dimensional Type II supergravity. T-duality along the common compact circle maps the Type IIB F1-NS5-P background to a Type IIA P-NS5-F1 background with the winding and momentum charges exchanged. The radial F1 source remains an F1 source, and its projected charge density gives a bit-thread flow whose maximal flux reproduces the black hole entropy. The same duality maps D1-D5-P to D0-D4-F1. In this case, a radial D1 source becomes a D2 source wrapped on the dual circle. Contracting the resulting spatial bivector with the normalized closed one-form on that circle gives a conserved effective radial flow whose maximal flux again reproduces the entropy. Although the local metrics, dilatons, source currents, and flow norms change, the dilaton-weighted transverse area density and the integrated maximal flux are invariant. These results provide a nontrivial T-duality test of the correspondence and extend it from string currents to wrapped-brane currents that reduce to string-like flows.
发表机构
- College of Physics Sichuan University（四川大学物理学院）
- Department of Physics Chongqing University（重庆大学物理学院）
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