论文标题

泊松的兼容性 - 与广义超级方程对称性的转换

Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations

论文作者

Hlavaty, Ladislav

论文摘要

我们调查了两种类型的转换,使NS-NS广义超级方程满足:$χ$ - 符号对称会改变Dilaton和量规变换,从而改变Dilaton和Vector Field $ J $。由于这些对称性,有大量的dilatons和向量场$ j $(对于固定度量和B场)满足了广义的超级强度方程,但只能将其中一些用作泊松转换的输入。给出了定义可允许的延伸的条件并提供了例子。

We investigate two types of transformations that keep NS-NS Generalized Supergravity Equations satisfied : $χ$-symmetry that shifts dilaton and gauge transformations that change both dilaton and vector field $J$. Due to these symmetries there is a large set of dilatons and vector fields $J$ that (for a fixed metric and B-field) satisfy Generalized Supergravity Equations but only some of them can be be used as input for Poisson--Lie transformations. Conditions that define the admissible dilatons are given and examples are presented.

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