论文标题
更高衍生的耦合和扭转的Riemann曲率
Higher-derivative couplings and torsional Riemann curvature
论文作者
论文摘要
Using the most general higher-derivative field redefinition for the closed spacetime manifolds, we show that the tree-level couplings of the metric, $B$-field and dilaton at orders $α'^2$ and $α'^3$ that have been recently found by the T-duality, can be written in a particular scheme in terms of the torsional Riemann curvature ${\cal R}$ and the torsion张量$ h $。订单$α'^2 $的耦合具有结构$ {\ cal r}^3，h^2 {\ cal r}^2 $，$ h^6 $，以及订单$α'^3 $的耦合只有结构$ {\ cal r}^4 $，$ h^2 {\ h^2 {\ cal r}^3 $。用普通的riemann曲率替换$ {\ cal r} $，结构中的耦合$ h^2 {\ cal r}^3 $重现S-Matrix方法在文献中发现的耦合。
Using the most general higher-derivative field redefinition for the closed spacetime manifolds, we show that the tree-level couplings of the metric, $B$-field and dilaton at orders $α'^2$ and $α'^3$ that have been recently found by the T-duality, can be written in a particular scheme in terms of the torsional Riemann curvature ${\cal R}$ and the torsion tensor $H$. The couplings at order $α'^2$ have structures ${\cal R}^3, H^2 {\cal R}^2$, $H^6$, and the couplings at order $α'^3$ have only structures ${\cal R}^4$, $H^2{\cal R}^3$. Replacing ${\cal R}$ with the ordinary Riemann curvature, the couplings in the structure $H^2{\cal R}^3$ reproduce the couplings found in the literature by the S-matrix method.
