论文标题
在IIB类型上，$ m^5 \ times x^5 $解决方案
On type IIB supergravity action on $M^5 \times X^5$ solutions
论文作者
论文摘要
虽然在ADS $ _5 \ times S^5 $解决方案上评估的10D IIB类超级加重动作消失了，但使用$ M^5 \ times S^5 $压实Ansatz从运动方程中重建的5D有效动作与ADS $ _5 $的体积成正比。后者与ADS/CFT上下文中的共形异常解释一致。我们表明，如果在$ M^5 \ times x^5 $拓扑的情况下，可以解决此悖论，10D操作包含额外的5形依赖性“拓扑”项$ \ int $ \ int f_ {5m} \ wedge f_ {5x} $。该术语的存在也是由IIB型超级重力作用的PST公式中的量规不变考虑提出的。我们表明，该术语有助于对D3-Brane解决方案评估的10D动作。
While the 10d type IIB supergravity action evaluated on AdS$_5\times S^5$ solution vanishes, the 5d effective action reconstructed from the equations of motion using $M^5 \times S^5$ compactification ansatz is proportional to the AdS$_5$ volume. The latter is consistent with the conformal anomaly interpretation in AdS/CFT context. We show that this paradox can be resolved if, in the case of $M^5 \times X^5$ topology, the 10d action contains an additional 5-form dependent "topological" term $\int F_{5M} \wedge F_{5X}$. The presence of this term is suggested also by gauge-invariance considerations in the PST formulation of type IIB supergravity action. We show that this term contributes to the 10d action evaluated on the D3-brane solution.
