论文标题
U-二元性和$α'$校正在三个维度
U-duality and $α'$ corrections in three dimensions
论文作者
论文摘要
我们使用$α'$压缩至三维的骨骼和异性弦理论的目标空间理论,使用显然是$ {\ rm o}下的T偶尔不变的公式(d,d,d,d,d,\ mathbb {r})$,分别为$ d = 23 $ d = 23 $和$ d = 7 $。尽管两衍生的超级重力表现出对U-二元组$ {\ rm o}(d+1,d+1)$的对称增强,但已知连续组在第一个$α'$ corcection时被损坏至$ {\ rm o}(d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,d,rm o})$。我们通过在$α'$中计算出三个维度的全部有效动作来重新审视这一观察结果,通过使矢量规场双重划分。我们通过调用矢量补偿器来形式地给出一个$ {\ rm o}(d+1,d+1)$不变的配方,我们观察到一种手性模式,使人们可以从异性动作中重建骨气动作。此外,我们通过集成外部$ b $字段来获得特定的巨大变形。这是基于复合连接的新型Chern-Simons项,显着地是$ {\ rm o}(d+1,d+1)$不变在变形参数中的领先顺序。
We consider the target space theory of bosonic and heterotic string theory to first order in $α'$ compactified to three dimensions, using a formulation that is manifestly T-duality invariant under ${\rm O}(d,d,\mathbb{R})$ with $d=23$ and $d=7$, respectively. While the two-derivative supergravity exhibits a symmetry enhancement to the U-duality group ${\rm O}(d+1,d+1)$, the continuous group is known to be broken to ${\rm O}(d,d,\mathbb{R})$ by the first $α'$ correction. We revisit this observation by computing the full effective actions in three dimensions to first order in $α'$ by dualizing the vector gauge fields. We give a formally ${\rm O}(d+1,d+1)$ invariant formulation by invoking a vector compensator, and we observe a chiral pattern that allows one to reconstruct the bosonic action from the heterotic action. Furthermore, we obtain a particular massive deformation by integrating out the external $B$ field. This induces a novel Chern-Simons term based on composite connections that, remarkably, is ${\rm O}(d+1,d+1)$ invariant to leading order in the deformation parameter.