Gauged WZW models and non-Abelian duality.
Gauged WZW models and non-Abelian duality.
复制标题
测量的 WZW 模型和非阿贝尔对偶性。
DOI：
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发表时间：
1994
期刊：
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通讯作者：
K. Sfetsos
中科院分区：
文献类型：
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作者：
K. Sfetsos
我们考虑基于非半简单代数的 WZW 模型，这些模型最近被构造为半简单群的相应代数的收缩。我们给出了这些模型的作用的明确表达以及它们的概括，并讨论了它们的一般属性。此外，我们考虑基于这些非半简单代数的计量 WZW 模型，并且我们证明它们等效于 WZW 动作的非阿贝尔对偶变换。我们还表明，一般非阿贝尔对偶变换可以被认为是对称规范群 [ital H] 的原始作用和 WZW 作用的直接乘积的非阿贝尔商理论的极限情况。在此操作中，不存在限制规范场强度消失的拉格朗日乘数项。一个特定的结果是陪集 ([ital G][sub [ital k]][直积][ital H][sub [ital l]])/[ital H][sub [ital k]+[ital l]] 的测量 WZW 作用达到某个极限，涉及 [ital l][r arrow][无穷大]，即 [ital G][sub [ital k]] 相对于子群 [ital H] 的对偶 WZW 作用。
We consider WZW models based on the non-semi-simple algebras that were recently constructed as contractions of corresponding algebras for semisimple groups. We give the explicit expression for the action of these models, as well as for a generalization of them, and discuss their general properties. Furthermore we consider gauged WZW models based on these non-semi-simple algebras and we show that they are equivalent to non-Abelian duality transformations on WZW actions. We also show that a general non-Abelian duality transformation can be thought of as a limiting case of the non-Abelian quotient theory of the direct product of the original action and the WZW action for the symmetry gauge group [ital H]. In this action there is no Lagrange multiplier term that constrains the gauge field strength to vanish. A particular result is that the gauged WZW action for the coset ([ital G][sub [ital k]][direct product][ital H][sub [ital l]])/[ital H][sub [ital k]+[ital l]] becomes in a certain limit, involving [ital l][r arrow][infinity], the dualized WZW action for [ital G][sub [ital k]] with respect to the subgroup [ital H].