Speaker
Description
In ten-dimensional type IIB supergravity, the action evaluated on the AdS5 \times S5 background vanishes, whereas the five-dimensional effective action obtained via dimensional reduction on S5 yields a non-zero result consistent with the AdS/CF T correspondence. This apparent discrepancy is resolved by incorporating an appropriate boundary term into the Pasti–Sorokin–Tonin (PST) action, which restores agreement between the ten- and five-dimensional descriptions. However, this modification was originally established only for the simplified case with vanishing two-form fields on the AdS5 \times S5 solution.
In this talk, I will revisit and generalize the problem by analyzing more intricate solutions of type IIB supergravity since it is crucial and indispensable that the holography must work for backgrounds beyond AdS_5\times S_5. We focus on three configurations: (1) Ten-dimensional spacetimes of the form AdS5 \times M5, beginning with the simplest AdS5 \times S5 and extending to deformed geometries such as the Lunin–Maldacena solution, where the internal manifold M5 is a deformed S5; (2) configurations of the form AdS4 \times M6; and (3) configurations of the form AdS6 \times M4. For each case, I will discuss the on-shell actions and demonstrate precise agreement with the corresponding lower-dimensional on-shell actions after suitable improvements are implemented."
