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Cosmological string backgrounds from super Poisson-Lie T-plurality
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-07-10 , DOI: 10.1016/j.nuclphysb.2020.115110
Ali Eghbali

We generalize the formulation of Poisson-Lie (PL) T-plurality proposed by R. von Unge (2002) [6] from Lie groups to Lie supergroups. By taking a convenient ansatz for metric of the σ-model in terms of the left-invariant one-forms of the isometry Lie supergroups (C3+A) and GL(1|1) we construct cosmological string backgrounds, including (2+1|2)-dimensional metric, time-dependent dilaton and vanishing torsion, in a way that they satisfy the one-loop beta-function equations. Starting from the decompositions of semi-Abelian Drinfeld superdoubles (DSDs) generated by the (C3+A) and gl(1|1) Lie super bi-algebras we find the conformal duality/plurality chains of 2+1-dimensional cosmological string backgrounds coupling with two fermionic fields. In particular, the new backgrounds obtained by the super PL T-plurality remain conformally invariant at one-loop level. This work can prompt many new insights into supergravity and obviously has interesting mathematical relations with double field theory.



中文翻译:

超级泊松-李T多元性的宇宙弦背景

我们概括了R. von Unge(2002)[6]从李群到李超群提出的Poisson-Lie(PL)T多元性的表述。通过对等距模型的左不变一形式采用便利的ansatz作为σ模型的度量Lie超群C3+一种G大号1个|1个 我们构造宇宙线背景,包括 2+1个|2度量,依赖于时间的膨胀系数和消失的扭力,它们满足单环β函数方程。从分解产生的半阿贝尔Drinfeld超双(DSD)开始。C3+一种G1个|1个 在超级双代数的谎言中,我们发现 2+1个维宇宙学弦背景与两个费米子场耦合。特别是,通过超级PL T复数​​获得的新背景在单循环水平上始终保形不变。这项工作可以引发许多有关超重力的新见解,并且显然与双场理论具有有趣的数学关系。

更新日期:2020-07-15
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