论文标题
有关$β$ - 米对称的更多信息
More on $β$-symmetry
论文作者
论文摘要
最近的工作提出了一种在不使用kaluza-klein降低的情况下对弦乐理论的经典作用的度量，$ b $ field和dilaton施加t偶对性的方法。具体而言，只要$β$ - 参数的部分衍生物是$ O（d，d，d）$组的$β$ - 参数沿$β$ - 参数沿$β$ - 参数沿$β$ - 参数沿$β$ - 参数的偏衍生物，则$ d $维有效的操作应不变。在本文中，我们推测可以利用全局$β$ - 符号对称性来识别批量和边界耦合。 我们证明了$α'$的领先顺序上的长臂猿词，由这种对称性重现。此外，对于以$α'$的闭合时空歧管，我们表明，该顺序的20个独立的几何耦合是由此对称性固定到场重新定义的。具体而言，我们表明，在最一般的协变量变形$β$ - 转换$α'$下，最通用的协变量和规格不变性动作的不变性在$α'$下的不变性将高达13个参数固定在订单上。这些参数反映了封闭时空歧管的场自由度的自由度。对于这些参数的特定值，我们在Metsaev-Tseytlin和Meissner方案中恢复有效的动作。
Recent work has proposed a method for imposing T-duality on the metric, $B$-field, and dilaton of the classical effective action of string theory without using Kaluza-Klein reduction. Specifically, the $D$-dimensional effective action should be invariant under global $O(D,D)$ transformations, provided that the partial derivatives along the $β$-parameters of the non-geometrical elements of the $O(D,D)$ group become zero. In this paper, we speculate that the global $β$-symmetry can be utilized to identify both bulk and boundary couplings. We demonstrate that the Gibbons-Hawking term at the leading order of $α'$ is reproduced by this symmetry. Additionally, for closed spacetime manifolds at order $α'$, we show that the 20 independent geometrical couplings at this order are fixed by this symmetry up to field redefinitions. Specifically, we show that the invariance of the most general covariant and gauge invariant bulk action at order $α'$ under the most general covariant deformed $β$-transformation at order $α'$ fixes the action up to 13 parameters. These parameters reflect the field redefinitions freedom for the closed spacetime manifolds. For particular values of these parameters, we recover the effective action in the Metsaev-Tseytlin and in the Meissner schemes.
