BPS spectrum on AdS$_3\times $S$^3 \times $S$^3 \times $S$^1$

BPS spectrum on AdS$_3\times $S$^3 \times $S$^3 \times $S$^1$
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AdS$_3 上的 BPS 频谱 imes $S$^3 imes $S$^3 imes $S$^1$

DOI:
10.1007/jhep03(2017)124
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发表时间:
2017
期刊:
arXiv: High Energy Physics - Theory
影响因子:
--
通讯作者:
Wei Li
Wei Li
中科院分区:
--
文献类型:
--
作者:
Lorenz Eberhardt;M. Gaberdiel;R. Gopakumar;Wei Li

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用WZW模型的世界片描述确定了AdS$3^3^3^1^^3^1^^3^1^^3^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1^1结果表明,该理论只存在满足$j ^+= j ^-$的BPS态,其中$j ^{\pm}$是大${\cal N}= 4 $超共形代数的$\mathfrak {su}(2)$代数的自旋.然后,我们重新检查了相应超引力的BPS谱,发现与文献中先前的说法不同,在超引力中也只有满足j ^+= j ^-的态是BPS。这解决了一些长期存在的关于弦理论的BPS谱和在此背景下的超引力的困惑。
The BPS spectrum of string theory on AdS$_3\times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ is determined using a world-sheet description in terms of WZW models. It is found that the theory only has BPS states with $j^+ = j^-$ where $j^{\pm}$ refer to the spins of the $\mathfrak{su}(2)$ algebras of the large ${\cal N}=4$ superconformal algebra. We then re-examine the BPS spectrum of the corresponding supergravity and find that, in contradistinction to previous claims in the literature, also in supergravity only the states with $j^+=j^-$ are BPS. This resolves a number of long-standing puzzles regarding the BPS spectrum of string theory and supergravity in this background.
保护 AdS3/CFT2 中的弦谱免受世界表可积性影响
DOI: 10.1007/jhep04(2017)091
发表时间: 2017
影响因子: 5.4
作者:
Baggio M
通讯作者: Baggio M