论文标题
扭曲$ ads_ {2} $和$ su（1,1 | 4）$对称IIB
Warped $AdS_{2}$ and $SU(1,1|4)$ symmetry in Type IIB
论文作者
论文摘要
我们研究了具有16个超对称性的解决方案的存在，以在$ ads_ {2} \ times s^{5} \ times s^{1} $上扭曲的二维riemann riemann surface $σ$扭曲的$ ads_ {2} \ times s^{5} \ times s^{1} $ type Ib supergravity的解决方案。谎言的存在superalgebra $ su（1,1 | 4）\ subset psu（2,2 | 4）$，其最大的玻色子亚词素为$ so（2,1）\ oplus so（6）\ oplus so（6）\ oplus so（2）$（2）$，激励与此均等的半bps解决方案，以$ a n is-ysymetotor as ys-ys-ys-ys-ys-ysyptime as ysyptime s ys-p. a d ads {5.我们将BPS方程降低到与这些对称性兼容的骨磁场和超对称发电机的ANSATZ，然后证明唯一的非平凡解决方案是最大的超对称解$ ADS_ {5} {5} \ times S^{5} $。我们认为，这意味着对于完全背面的D7探针或D7/D3，其近晶体的限制与形式为$ ads_ {2} \ times s^{5} \ times s^{1} {1} \ timesσ$σ$。
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 $AdS_{2}\times S^{5}\times S^{1}\times Σ$.
