arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 2004.12613hep-th
收藏

IIB型中扭曲的$AdS_{2}$和$SU(1,1|4)$对称性

Warped $AdS_{2}$ and $SU(1,1|4)$ symmetry in Type IIB

David Corbino

摘要:

研究了在二维Riemann曲面$Σ$上翘曲的$AdS_{2}\times S^{5}\times S^{1}$时空中IIB型超引力的16个超对称解的存在性.李超代数$SU(1,1|4) \subset PSU(2,2|4)$的存在性,其最大玻色子代数是$SO(2,1)\oplus SO(6)\oplus SO(2)$,激发了寻找半BPS解决方案与这个等距是渐近的$AdS_{5} \times S^{5}$。我们将BPS方程约化为玻色场和与这些对称性相容的超对称生成元的近似解,然后证明了唯一的非平凡解是最大超对称解$AdS_{5}\times S^{5}$ .我们认为,这意味着完全反作用的D 7探针或D 7/D3相交膜,其近视界极限是$AdS_{2}\times S^{5}\times S^{1}\times Σ$的形式是不存在的解决方案。

英文摘要:

We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form $AdS_{2}\times S^{5}\times S^{1}$ warped over a two-dimensional Riemann surface $Σ$. The existence of the Lie superalgebra $SU(1,1|4) \subset PSU(2,2|4)$, whose maximal bosonic subalgebra is $SO(2,1)\oplus SO(6)\oplus SO(2)$, motivates the search for half-BPS solutions with this isometry that are asymptotic to $AdS_{5} \times S^{5}$. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution $AdS_{5}\times S^{5}$. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form $AdS_{2}\times S^{5}\times S^{1}\times Σ$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑