标题： 杂化弦有效理论在三维和二维中的对称性 显示英文标题

标题： Symmetries of Heterotic String Effective Theory in Three and Two Dimensions

摘要： 四维玻色子有效作用量的环面紧致化异质弦理论，包括一个膨胀子、一个轴子和一个$U(1)$矢量场，在具有一个和两个对易Killing向量的弯曲时空流形上被研究。 在第一种情况下，该理论约化为一个三维sigma模型，其对称伪黎曼目标空间同构于陪集$SO(2,3)/(SO(3)\times SO(2))$。 目标空间等距群的十参数群$SO(2,3)$包含嵌入的$S$和$T$异质弦的经典对偶性。 多一个可忽略坐标的情况下，该理论约化为基于上述陪集的二维手征模型，因此属于完全可积系统类别。 这导致了Geroch--Kinnersley--Chitre类型的无限维对称性。 纯膨胀子理论仅在膨胀子耦合常数的两个特定值下是二维可积的。 在静态情况下（对角度规），两种理论基本一致；在这种情况下，可积性性质对于所有膨胀子耦合值都成立。 显示英文摘要

摘要： The four-dimensional bosonic effective action of the toroidally compactified heterotic string incorporating a dilaton, an axion and one $U(1)$ vector field is studied on curved space-time manifolds with one and two commuting Killing vectors. In the first case the theory is reduced to a three-dimensional sigma model possessing a symmetric pseudoriemannian target space isomorphic to the coset $SO(2,3)/(SO(3)\times SO(2))$. The ten-parameter group $SO(2,3)$ of target space isometries contains embedded both $S$ and $T$ classical duality symmetries of the heterotic string. With one more ignorable coordinate, the theory reduces to a two-dimensional chiral model built on the above coset, and therefore belongs to the class of completely integrable systems. This entails infinite-dimensional symmetries of the Geroch--Kinnersley--Chitre type. Purely dilatonic theory is shown to be two-dimensionally integrable only for two particular values of the dilaton coupling constant. In the static case (diagonal metrics) both theories essentially coincide; in this case the integrability property holds for all values of the dilaton coupling.