论文标题
双重性不变性和较高的衍生品
Duality Invariance and Higher Derivatives
论文作者
论文摘要
我们从尺寸上降低了骨弦理论的时空作用，以及截断Yang-Mills仪表域的杂丝弦理论领域的玻色丝部门的作用，对$ d $维的圆环（包括所有高衍生的纠正措施），包括$α'$ $α'$的第一阶。开发了一个系统的程序，该程序将此动作带入了最小的形式，在该形式中，除了度量标准外，所有领域仅携带一阶导数。在$ {\ rm o}（d，d，\ mathbb {r}）$转换下，此操作被证明是不变的，该$转换通过绿色 - 奇瓦兹类型机制获取$α'$ - 校正。我们证明，在全局前因子之前，第一阶$α'$ - 校正由$ {\ rm o}（d，d，d，\ m athbb {r}）$不变确定。
We dimensionally reduce the spacetime action of bosonic string theory, and that of the bosonic sector of heterotic string theory after truncating the Yang-Mills gauge fields, on a $d$-dimensional torus including all higher-derivative corrections to first order in $α'$. A systematic procedure is developed that brings this action into a minimal form in which all fields except the metric carry only first order derivatives. This action is shown to be invariant under ${\rm O}(d,d,\mathbb{R})$ transformations that acquire $α'$-corrections through a Green-Schwarz type mechanism. We prove that, up to a global pre-factor, the first order $α'$-corrections are uniquely determined by ${\rm O}(d,d,\mathbb{R})$ invariance.
