论文标题
$ 6D $和$ 10D $的较高衍生性异质超级重力的双重化
Dualization of Higher Derivative Heterotic Supergravities in $6D$ and $10D$
论文作者
论文摘要
在六个维度上存在两个$ n =（1,0）$超级的四个四衍生扩展。众所周知，它们的特殊组合是对贝尔格肖夫·德·鲁（Bergshoeff-de Roo）（bdr）Action的类似物的双重组合，价格为$ 10D $。在这里，我们首先证明这两个扩展是通过任何字段重新定义相互关联的。接下来，我们分别对它们进行双重化，从而获得了两个参数双重理论。这是直接在动作层面上完成的，因此避免了将双重理论的运动方程式整合到动作中的费力方法。为了探索是否以$ 10D $的价格存在类似现象，我们将详细研究BDR Action的双重化。我们发现将结果分开的障碍分为两个独立不变的人，因为条款的存在不从$ 6D $提高到$ 10D $。我们还将BDR动作的双重动作与超空间中获得的现有结果进行了比较。我们发现，骨气动作同意Modulo字段重新定义。
There exist two four-derivative extensions of $N=(1,0)$ supergravity in six dimensions. A particular combination of them is known to dualize to the analog of the the Bergshoeff-de Roo (BdR) action in $10D$. Here we first show that the two extensions are not related to each other by any field redefinitions. Next, we dualize them separately thereby obtaining a two parameter dual theory. This is done directly at the level of the action, thus avoiding the laborious method of integrating equations of motion of the dualized theory into an action. To explore whether a similar phenomenon exists in $10D$, we study the dualization of the BdR action in $10D$ in detail. We find an obstacle in the separation of the result into a sum of two independent invariants because of the presence of terms which do not lift from $6D$ to $10D$. We also compare the dual of the BdR action with an existing result obtained in superspace. We find that the bosonic actions agree modulo field redefinitions.
