Kalb-Ramond背景中的热带开弦
Tropical Open Strings in a Kalb-Ramond Background
AI总结：
本文研究Kalb-Ramond背景下的热带开弦，将其分为一般与临界扇区，临界扇区因勒让德映射退化需用Dirac-Bergmann程序量子化，具有有限约化相空间结构，与一般理论朴素极限不同。
AI中文摘要：
我们研究在恒定Kalb-Ramond背景下，由拓扑σ模型的解析延拓作用产生的热带开弦。我们表明，该背景场将理论分为一般扇区和临界扇区：在一般扇区中，正则结构在横向和叶状靶空间坐标之间产生运动学非局域括号；在Kalb-Ramond场的临界值处，勒让德映射退化，理论出现初级约束，需通过Dirac-Bergmann程序进行量子化，此临界扇区具有有限的约化相空间结构，且与一般理论的朴素极限不同。
英文摘要：
We study tropical open strings arising from the analytically continued action of tropological sigma models in the presence of a constant Kalb-Ramond background. We show that the background field separates the theory into a generic sector and a critical sector. In the generic sector, the canonical structure produces a kinematical nonlocal bracket between the transverse and leafwise target-space coordinates. At the critical value of the Kalb-Ramond field, the Legendre map degenerates and the theory develops a primary constraint, requiring quantization by the Dirac-Bergmann procedure. This critical sector has a finite reduced phase-space structure and differs from the naive limit of the generic theory.
