| Popis: |
While the ten-dimensional type IIB supergravity action evaluated on AdS5×S5 solution vanishes, the five-dimensional effective action reconstructed from equations of motion using the M5×S5 compactification ansatz is proportional to the AdS5 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 M5×X5 topology, the ten-dimensional action contains an additional 5-form-dependent “topological” term ∫F5M∧F5X. The presence of this term is suggested also by gauge-invariance considerations in the Pasti-Sorokin-Tonin formulation of type IIB supergravity action. We show that this term contributes to the ten-dimensional action evaluated on the D3-brane solution. |
