什么是经典零弦理论？
What is Classical Null String Theory?
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中文总结 AI 辅助
本文明确了ILST理论与零弦理论的区别，提出零弦理论需规范Carroll-Weyl对称性，补充了将ILST理论转化为零弦理论的要求。
中文摘要 AI 辅助
我们重新研究D维闵氏目标空间中零弦的经典定义，并将一致的部分规范 Carrollian σ模型与零弦理论区分开来。Isberg-Lindström-Sundborg-Theodoridis（ILST）作用量规范了世界面微分同胚和普通外尔 rescaling，但未规范 Carrollian 内在结构的时间与空间代表的独立相对 rescaling——Carroll-Weyl 标度。物理弦理论要求世界面代表的每一次局域变化都被规范，因此零弦理论中应规范 Carroll-Weyl 对称性。在最小实现中，对应的规范在有限张力下受阻，而在零张力下，它会产生额外的第一类约束及沿其规范轨道的物理构型的关联识别。将零世界面描述为零测地线的同余，为 Carroll-Weyl 标度的规范提供了互补的目标空间解释。我们的分析因此提供了将 ILST 理论转化为零弦理论的补充要求。
英文摘要
We revisit the classical definition of a null string in a D-dimensional Minkowski target space and distinguish a consistent partially-gauged Carrollian sigma-model from the null string theory. The Isberg-Lindström-Sundborg-Theodoridis (ILST) action gauges worldsheet diffeomorphisms and the common Weyl rescaling, but not the independent relative rescaling of the temporal and spatial representatives of the intrinsic Carrollian structure, Carroll-Weyl scaling. A physical string theory requires every local change of worldsheet representative to be gauged, therefore, the Carroll-Weyl symmetry should be gauged in a null string theory. In the minimal realization, the corresponding gauging is obstructed at finite tension, whereas at zero tension it yields an additional first-class constraint and the associated identification of physical configurations along its gauge orbits. The description of the null worldsheet as a congruence of null geodesics provides a complementary target-space interpretation of gauging of the Carroll-Weyl scaling. Our analysis thus provides the supplementary requirements that turns the ILST theory into the null string theory.
发表机构
- School of Physics, Institute for Research in Fundamental Sciences (IPM)（基础科学研究院物理学院）
- Beijing Institute of Mathematical Sciences and Applications (BIMSA)（北京数学科学及应用研究院）
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