Poisson–Lie identities and dualities of Bianchi cosmologies

Poisson–Lie identities and dualities of Bianchi cosmologies
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比安奇宇宙论的泊松-李恒等式和对偶性

DOI:
10.1140/epjc/s10052-019-7356-5
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发表时间:
2019
期刊:
The European Physical Journal C
影响因子:
--
通讯作者:
I. Petr
I. Petr
中科院分区:
--
文献类型:
--
作者:
Ladislav Hlavat'y;I. Petr

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研究了关于非半单Bianchi群的Bianchi宇宙论不变的一类特殊泊松-李t复数变换。对于包含Bianchi代数的六维半阿贝尔Manin三元组,我们确定了泊松-李恒等式和对偶的一般形式。我们证明这些可以分解成简单的因子,即Manin三元组、b -移位、-移位和“满”或“分解”对偶的自同构。进一步,我们研究了这些变换的效果,并利用分解得到新的背景,这些背景在相应的膨胀支持下,满足广义超引力方程。
We investigate a special class of Poisson–Lie T-plurality transformations of Bianchi cosmologies invariant with respect to non-semisimple Bianchi groups. For six-dimensional semi-Abelian Manin triplescontaining Bianchi algebraswe identify general forms of Poisson–Lie identities and dualities. We show that these can be decomposed into simple factors, namely automorphisms of Manin triples, B-shifts,-shifts, and “full” or “factorized” dualities. Further, we study effects of these transformations and utilize the decompositions to obtain new backgrounds which, supported by corresponding dilatons, satisfy Generalized Supergravity Equations.
DOI: --
发表时间: 2019
期刊:
影响因子: --
作者:
Andrade Tom?s;Emparan Roberto;Jansen Aron;Licht David;Luna Raimon;Suzuki Ryotaku;酒谷雄峰
通讯作者: 酒谷雄峰