$\rr^{1,2}$和$SL(2,\rr)$中的奇异Liouville域和尖弦
Singular Liouville fields and spiky strings in $\rr^{1,2}$ and $SL(2,\rr)$
摘要：
在Pohlmeyer约化方案下研究了$\rr^{1,2}$和$SL(2,\rr)$中的闭弦动力学.在这两个空间中，两个不同类别的字符串表面指定的结构的基本二次型。$\rr^{1,2}$中的第一类与标准光锥规范弦相关，第二类描述了Virasoro余伴轨道上的尖弦及其共形变形。这些轨道对应于奇异刘维尔场与monodromy矩阵$\pm I$。$SL(2,\rr)$中的第一类是由手征能量泛函为零的Liouville场参数化的。类似于$\rr^{1,2}$，$SL(2,\rr)$中的第二类描述了尖峰弦，与$SL(2,\rr)/U(1)$陪集模型的真空配置有关。
英文摘要：
The closed string dynamics in $\rr^{1,2}$ and $SL(2,\rr)$ is studied within the scheme of Pohlmeyer reduction. In both spaces two different classes of string surfaces are specified by the structure of the fundamental quadratic forms. The first class in $\rr^{1,2}$ is associated with the standard lightcone gauge strings and the second class describes spiky strings and their conformal deformations on the Virasoro coadjoint orbits. These orbits correspond to singular Liouville fields with the monodromy matrixes $\pm I$. The first class in $SL(2,\rr)$ is parameterized by the Liouville fields with vanishing chiral energy functional. Similarly to $\rr^{1,2}$, the second class in $SL(2,\rr)$ describes spiky strings, related to the vacuum configurations of the $SL(2,\rr)/U(1)$ coset model.
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